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Finding the Fourth Proportional to 278.18, 417.31 and 95.53

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Solution

The fourth proportional to 278.18, 417.31 and 95.53 is: 143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.18 : 417.31 = 95.53 : x
  2. Step 2: Convert to fraction form
    278.18/417.31 = 95.53/x
  3. Step 3: Cross multiply
    278.18x = 417.31 × 95.53
  4. Step 4: Simplify right side
    278.18x = 39,865.62
  5. Step 5: Solve for x
    x = 39,865.62/278.18
  6. Step 6: Final answer
    x = 143.31

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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.