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Finding the Fourth Proportional to 278.42, 417.59 and 95.80

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Solution

The fourth proportional to 278.42, 417.59 and 95.80 is: 143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.42 : 417.59 = 95.80 : x
  2. Step 2: Convert to fraction form
    278.42/417.59 = 95.80/x
  3. Step 3: Cross multiply
    278.42x = 417.59 × 95.80
  4. Step 4: Simplify right side
    278.42x = 40,004.32
  5. Step 5: Solve for x
    x = 40,004.32/278.42
  6. Step 6: Final answer
    x = 143.69

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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.