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Finding the Fourth Proportional to 242.08, 363.01 and 120.42

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Solution

The fourth proportional to 242.08, 363.01 and 120.42 is: 180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.08 : 363.01 = 120.42 : x
  2. Step 2: Convert to fraction form
    242.08/363.01 = 120.42/x
  3. Step 3: Cross multiply
    242.08x = 363.01 × 120.42
  4. Step 4: Simplify right side
    242.08x = 43,711.55
  5. Step 5: Solve for x
    x = 43,711.55/242.08
  6. Step 6: Final answer
    x = 180.56

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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.