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Finding the Fourth Proportional to 237.75, 328.13 and 139.56

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Solution

The fourth proportional to 237.75, 328.13 and 139.56 is: 192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.75 : 328.13 = 139.56 : x
  2. Step 2: Convert to fraction form
    237.75/328.13 = 139.56/x
  3. Step 3: Cross multiply
    237.75x = 328.13 × 139.56
  4. Step 4: Simplify right side
    237.75x = 45,793.82
  5. Step 5: Solve for x
    x = 45,793.82/237.75
  6. Step 6: Final answer
    x = 192.61

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