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Finding the Fourth Proportional to 278.29, 417.16 and 180.86

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Solution

The fourth proportional to 278.29, 417.16 and 180.86 is: 271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.29 : 417.16 = 180.86 : x
  2. Step 2: Convert to fraction form
    278.29/417.16 = 180.86/x
  3. Step 3: Cross multiply
    278.29x = 417.16 × 180.86
  4. Step 4: Simplify right side
    278.29x = 75,447.56
  5. Step 5: Solve for x
    x = 75,447.56/278.29
  6. Step 6: Final answer
    x = 271.11

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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.