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Finding the Fourth Proportional to 354.12, 531.24 and 180.86

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Solution

The fourth proportional to 354.12, 531.24 and 180.86 is: 271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.12 : 531.24 = 180.86 : x
  2. Step 2: Convert to fraction form
    354.12/531.24 = 180.86/x
  3. Step 3: Cross multiply
    354.12x = 531.24 × 180.86
  4. Step 4: Simplify right side
    354.12x = 96,080.07
  5. Step 5: Solve for x
    x = 96,080.07/354.12
  6. Step 6: Final answer
    x = 271.32

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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.