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Finding the Fourth Proportional to 238.84, 329.68 and 151.52

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Solution

The fourth proportional to 238.84, 329.68 and 151.52 is: 209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.84 : 329.68 = 151.52 : x
  2. Step 2: Convert to fraction form
    238.84/329.68 = 151.52/x
  3. Step 3: Cross multiply
    238.84x = 329.68 × 151.52
  4. Step 4: Simplify right side
    238.84x = 49,953.11
  5. Step 5: Solve for x
    x = 49,953.11/238.84
  6. Step 6: Final answer
    x = 209.15

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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.