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Finding the Fourth Proportional to 242.46, 363.63 and 105.48

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Solution

The fourth proportional to 242.46, 363.63 and 105.48 is: 158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.46 : 363.63 = 105.48 : x
  2. Step 2: Convert to fraction form
    242.46/363.63 = 105.48/x
  3. Step 3: Cross multiply
    242.46x = 363.63 × 105.48
  4. Step 4: Simplify right side
    242.46x = 38,353.35
  5. Step 5: Solve for x
    x = 38,353.35/242.46
  6. Step 6: Final answer
    x = 158.18

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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.