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Finding the Fourth Proportional to 242.14, 363.34 and 120.39

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Solution

The fourth proportional to 242.14, 363.34 and 120.39 is: 180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.14 : 363.34 = 120.39 : x
  2. Step 2: Convert to fraction form
    242.14/363.34 = 120.39/x
  3. Step 3: Cross multiply
    242.14x = 363.34 × 120.39
  4. Step 4: Simplify right side
    242.14x = 43,740.61
  5. Step 5: Solve for x
    x = 43,740.61/242.14
  6. Step 6: Final answer
    x = 180.64

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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.