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Finding the Fourth Proportional to 278.10, 417.14 and 72.66

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Solution

The fourth proportional to 278.10, 417.14 and 72.66 is: 108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.10 : 417.14 = 72.66 : x
  2. Step 2: Convert to fraction form
    278.10/417.14 = 72.66/x
  3. Step 3: Cross multiply
    278.10x = 417.14 × 72.66
  4. Step 4: Simplify right side
    278.10x = 30,309.39
  5. Step 5: Solve for x
    x = 30,309.39/278.10
  6. Step 6: Final answer
    x = 108.99

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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.