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Finding the Fourth Proportional to 242.31, 363.44 and 105.32

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Solution

The fourth proportional to 242.31, 363.44 and 105.32 is: 157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.31 : 363.44 = 105.32 : x
  2. Step 2: Convert to fraction form
    242.31/363.44 = 105.32/x
  3. Step 3: Cross multiply
    242.31x = 363.44 × 105.32
  4. Step 4: Simplify right side
    242.31x = 38,276.04
  5. Step 5: Solve for x
    x = 38,276.04/242.31
  6. Step 6: Final answer
    x = 157.96

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Why These Related Problems?

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