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Finding the Fourth Proportional to 362.32, 543.44 and 118.85

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Solution

The fourth proportional to 362.32, 543.44 and 118.85 is: 178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.32 : 543.44 = 118.85 : x
  2. Step 2: Convert to fraction form
    362.32/543.44 = 118.85/x
  3. Step 3: Cross multiply
    362.32x = 543.44 × 118.85
  4. Step 4: Simplify right side
    362.32x = 64,585.42
  5. Step 5: Solve for x
    x = 64,585.42/362.32
  6. Step 6: Final answer
    x = 178.26

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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.