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Finding the Fourth Proportional to 242.32, 363.16 and 180.36

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Solution

The fourth proportional to 242.32, 363.16 and 180.36 is: 270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.32 : 363.16 = 180.36 : x
  2. Step 2: Convert to fraction form
    242.32/363.16 = 180.36/x
  3. Step 3: Cross multiply
    242.32x = 363.16 × 180.36
  4. Step 4: Simplify right side
    242.32x = 65,499.54
  5. Step 5: Solve for x
    x = 65,499.54/242.32
  6. Step 6: Final answer
    x = 270.30

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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.