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Finding the Fourth Proportional to 354.16, 531.34 and 180.72

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Solution

The fourth proportional to 354.16, 531.34 and 180.72 is: 271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.16 : 531.34 = 180.72 : x
  2. Step 2: Convert to fraction form
    354.16/531.34 = 180.72/x
  3. Step 3: Cross multiply
    354.16x = 531.34 × 180.72
  4. Step 4: Simplify right side
    354.16x = 96,023.76
  5. Step 5: Solve for x
    x = 96,023.76/354.16
  6. Step 6: Final answer
    x = 271.13

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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.