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Finding the Fourth Proportional to 642.83, 964.14 and 180.57

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Solution

The fourth proportional to 642.83, 964.14 and 180.57 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.83 : 964.14 = 180.57 : x
  2. Step 2: Convert to fraction form
    642.83/964.14 = 180.57/x
  3. Step 3: Cross multiply
    642.83x = 964.14 × 180.57
  4. Step 4: Simplify right side
    642.83x = 174,094.76
  5. Step 5: Solve for x
    x = 174,094.76/642.83
  6. Step 6: Final answer
    x = 270.83

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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.