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Finding the Fourth Proportional to 239.91, 330.96 and 146.58

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Solution

The fourth proportional to 239.91, 330.96 and 146.58 is: 202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.91 : 330.96 = 146.58 : x
  2. Step 2: Convert to fraction form
    239.91/330.96 = 146.58/x
  3. Step 3: Cross multiply
    239.91x = 330.96 × 146.58
  4. Step 4: Simplify right side
    239.91x = 48,512.12
  5. Step 5: Solve for x
    x = 48,512.12/239.91
  6. Step 6: Final answer
    x = 202.21

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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.