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Finding the Fourth Proportional to 237.68, 328.08 and 149.17

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Solution

The fourth proportional to 237.68, 328.08 and 149.17 is: 205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.68 : 328.08 = 149.17 : x
  2. Step 2: Convert to fraction form
    237.68/328.08 = 149.17/x
  3. Step 3: Cross multiply
    237.68x = 328.08 × 149.17
  4. Step 4: Simplify right side
    237.68x = 48,937.87
  5. Step 5: Solve for x
    x = 48,937.87/237.68
  6. Step 6: Final answer
    x = 205.89

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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.