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Finding the Fourth Proportional to 278.14, 417.24 and 72.71

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Solution

The fourth proportional to 278.14, 417.24 and 72.71 is: 109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.14 : 417.24 = 72.71 : x
  2. Step 2: Convert to fraction form
    278.14/417.24 = 72.71/x
  3. Step 3: Cross multiply
    278.14x = 417.24 × 72.71
  4. Step 4: Simplify right side
    278.14x = 30,339.46
  5. Step 5: Solve for x
    x = 30,339.46/278.14
  6. Step 6: Final answer
    x = 109.08

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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.