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Finding the Fourth Proportional to 278.48, 417.74 and 116.16

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Solution

The fourth proportional to 278.48, 417.74 and 116.16 is: 174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.48 : 417.74 = 116.16 : x
  2. Step 2: Convert to fraction form
    278.48/417.74 = 116.16/x
  3. Step 3: Cross multiply
    278.48x = 417.74 × 116.16
  4. Step 4: Simplify right side
    278.48x = 48,524.68
  5. Step 5: Solve for x
    x = 48,524.68/278.48
  6. Step 6: Final answer
    x = 174.25

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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.