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Finding the Fourth Proportional to 278.66, 417.84 and 116.30

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Solution

The fourth proportional to 278.66, 417.84 and 116.30 is: 174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.66 : 417.84 = 116.30 : x
  2. Step 2: Convert to fraction form
    278.66/417.84 = 116.30/x
  3. Step 3: Cross multiply
    278.66x = 417.84 × 116.30
  4. Step 4: Simplify right side
    278.66x = 48,592.70
  5. Step 5: Solve for x
    x = 48,592.70/278.66
  6. Step 6: Final answer
    x = 174.38

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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.