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Finding the Fourth Proportional to 642.42, 963.57 and 180.16

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Solution

The fourth proportional to 642.42, 963.57 and 180.16 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.42 : 963.57 = 180.16 : x
  2. Step 2: Convert to fraction form
    642.42/963.57 = 180.16/x
  3. Step 3: Cross multiply
    642.42x = 963.57 × 180.16
  4. Step 4: Simplify right side
    642.42x = 173,596.77
  5. Step 5: Solve for x
    x = 173,596.77/642.42
  6. Step 6: Final answer
    x = 270.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.