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Finding the Fourth Proportional to 242.43, 363.71 and 120.66

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Solution

The fourth proportional to 242.43, 363.71 and 120.66 is: 181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.43 : 363.71 = 120.66 : x
  2. Step 2: Convert to fraction form
    242.43/363.71 = 120.66/x
  3. Step 3: Cross multiply
    242.43x = 363.71 × 120.66
  4. Step 4: Simplify right side
    242.43x = 43,885.25
  5. Step 5: Solve for x
    x = 43,885.25/242.43
  6. Step 6: Final answer
    x = 181.02

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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.