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Finding the Fourth Proportional to 278.26, 417.32 and 85.84

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Solution

The fourth proportional to 278.26, 417.32 and 85.84 is: 128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.26 : 417.32 = 85.84 : x
  2. Step 2: Convert to fraction form
    278.26/417.32 = 85.84/x
  3. Step 3: Cross multiply
    278.26x = 417.32 × 85.84
  4. Step 4: Simplify right side
    278.26x = 35,822.75
  5. Step 5: Solve for x
    x = 35,822.75/278.26
  6. Step 6: Final answer
    x = 128.74

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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.