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Finding the Fourth Proportional to 242.32, 363.22 and 120.34

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Solution

The fourth proportional to 242.32, 363.22 and 120.34 is: 180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.32 : 363.22 = 120.34 : x
  2. Step 2: Convert to fraction form
    242.32/363.22 = 120.34/x
  3. Step 3: Cross multiply
    242.32x = 363.22 × 120.34
  4. Step 4: Simplify right side
    242.32x = 43,709.89
  5. Step 5: Solve for x
    x = 43,709.89/242.32
  6. Step 6: Final answer
    x = 180.38

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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.