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Finding the Fourth Proportional to 175.57, 242.16 and 113.30

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Solution

The fourth proportional to 175.57, 242.16 and 113.30 is: 156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.57 : 242.16 = 113.30 : x
  2. Step 2: Convert to fraction form
    175.57/242.16 = 113.30/x
  3. Step 3: Cross multiply
    175.57x = 242.16 × 113.30
  4. Step 4: Simplify right side
    175.57x = 27,436.73
  5. Step 5: Solve for x
    x = 27,436.73/175.57
  6. Step 6: Final answer
    x = 156.28

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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.