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Finding the Fourth Proportional to 242.72, 363.24 and 174.12

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Solution

The fourth proportional to 242.72, 363.24 and 174.12 is: 260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.72 : 363.24 = 174.12 : x
  2. Step 2: Convert to fraction form
    242.72/363.24 = 174.12/x
  3. Step 3: Cross multiply
    242.72x = 363.24 × 174.12
  4. Step 4: Simplify right side
    242.72x = 63,247.35
  5. Step 5: Solve for x
    x = 63,247.35/242.72
  6. Step 6: Final answer
    x = 260.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.