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Finding the Fourth Proportional to 278.43, 417.64 and 116.11

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Solution

The fourth proportional to 278.43, 417.64 and 116.11 is: 174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.43 : 417.64 = 116.11 : x
  2. Step 2: Convert to fraction form
    278.43/417.64 = 116.11/x
  3. Step 3: Cross multiply
    278.43x = 417.64 × 116.11
  4. Step 4: Simplify right side
    278.43x = 48,490.85
  5. Step 5: Solve for x
    x = 48,490.85/278.43
  6. Step 6: Final answer
    x = 174.16

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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.