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Finding the Fourth Proportional to 237.68, 328.01 and 134.18

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Solution

The fourth proportional to 237.68, 328.01 and 134.18 is: 185.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.68 : 328.01 = 134.18 : x
  2. Step 2: Convert to fraction form
    237.68/328.01 = 134.18/x
  3. Step 3: Cross multiply
    237.68x = 328.01 × 134.18
  4. Step 4: Simplify right side
    237.68x = 44,010.07
  5. Step 5: Solve for x
    x = 44,010.07/237.68
  6. Step 6: Final answer
    x = 185.17

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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.