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Finding the Fourth Proportional to 237.96, 328.46 and 139.72

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Solution

The fourth proportional to 237.96, 328.46 and 139.72 is: 192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.96 : 328.46 = 139.72 : x
  2. Step 2: Convert to fraction form
    237.96/328.46 = 139.72/x
  3. Step 3: Cross multiply
    237.96x = 328.46 × 139.72
  4. Step 4: Simplify right side
    237.96x = 45,892.43
  5. Step 5: Solve for x
    x = 45,892.43/237.96
  6. Step 6: Final answer
    x = 192.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.