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Finding the Fourth Proportional to 147.72, 220.29 and 135.91

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Solution

The fourth proportional to 147.72, 220.29 and 135.91 is: 202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.72 : 220.29 = 135.91 : x
  2. Step 2: Convert to fraction form
    147.72/220.29 = 135.91/x
  3. Step 3: Cross multiply
    147.72x = 220.29 × 135.91
  4. Step 4: Simplify right side
    147.72x = 29,939.61
  5. Step 5: Solve for x
    x = 29,939.61/147.72
  6. Step 6: Final answer
    x = 202.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.