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Finding the Fourth Proportional to 242.25, 363.41 and 105.27

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Solution

The fourth proportional to 242.25, 363.41 and 105.27 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.25 : 363.41 = 105.27 : x
  2. Step 2: Convert to fraction form
    242.25/363.41 = 105.27/x
  3. Step 3: Cross multiply
    242.25x = 363.41 × 105.27
  4. Step 4: Simplify right side
    242.25x = 38,255.64
  5. Step 5: Solve for x
    x = 38,255.64/242.25
  6. Step 6: Final answer
    x = 157.92

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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.