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Finding the Fourth Proportional to 642.36, 963.58 and 173.90

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Solution

The fourth proportional to 642.36, 963.58 and 173.90 is: 260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.36 : 963.58 = 173.90 : x
  2. Step 2: Convert to fraction form
    642.36/963.58 = 173.90/x
  3. Step 3: Cross multiply
    642.36x = 963.58 × 173.90
  4. Step 4: Simplify right side
    642.36x = 167,568.54
  5. Step 5: Solve for x
    x = 167,568.54/642.36
  6. Step 6: Final answer
    x = 260.86

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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.