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Finding the Fourth Proportional to 278.71, 417.72 and 116.23

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Solution

The fourth proportional to 278.71, 417.72 and 116.23 is: 174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.71 : 417.72 = 116.23 : x
  2. Step 2: Convert to fraction form
    278.71/417.72 = 116.23/x
  3. Step 3: Cross multiply
    278.71x = 417.72 × 116.23
  4. Step 4: Simplify right side
    278.71x = 48,551.60
  5. Step 5: Solve for x
    x = 48,551.60/278.71
  6. Step 6: Final answer
    x = 174.20

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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.