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Finding the Fourth Proportional to 278.14, 417.19 and 72.70

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Solution

The fourth proportional to 278.14, 417.19 and 72.70 is: 109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.14 : 417.19 = 72.70 : x
  2. Step 2: Convert to fraction form
    278.14/417.19 = 72.70/x
  3. Step 3: Cross multiply
    278.14x = 417.19 × 72.70
  4. Step 4: Simplify right side
    278.14x = 30,329.71
  5. Step 5: Solve for x
    x = 30,329.71/278.14
  6. Step 6: Final answer
    x = 109.04

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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.