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Finding the Fourth Proportional to 237.02, 355.17 and 115.16

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Solution

The fourth proportional to 237.02, 355.17 and 115.16 is: 172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.02 : 355.17 = 115.16 : x
  2. Step 2: Convert to fraction form
    237.02/355.17 = 115.16/x
  3. Step 3: Cross multiply
    237.02x = 355.17 × 115.16
  4. Step 4: Simplify right side
    237.02x = 40,901.38
  5. Step 5: Solve for x
    x = 40,901.38/237.02
  6. Step 6: Final answer
    x = 172.57

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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.