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Finding the Fourth Proportional to 278.52, 417.64 and 95.86

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Solution

The fourth proportional to 278.52, 417.64 and 95.86 is: 143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.52 : 417.64 = 95.86 : x
  2. Step 2: Convert to fraction form
    278.52/417.64 = 95.86/x
  3. Step 3: Cross multiply
    278.52x = 417.64 × 95.86
  4. Step 4: Simplify right side
    278.52x = 40,034.97
  5. Step 5: Solve for x
    x = 40,034.97/278.52
  6. Step 6: Final answer
    x = 143.74

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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.