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Finding the Fourth Proportional to 278.30, 417.43 and 95.71

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Solution

The fourth proportional to 278.30, 417.43 and 95.71 is: 143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.30 : 417.43 = 95.71 : x
  2. Step 2: Convert to fraction form
    278.30/417.43 = 95.71/x
  3. Step 3: Cross multiply
    278.30x = 417.43 × 95.71
  4. Step 4: Simplify right side
    278.30x = 39,952.23
  5. Step 5: Solve for x
    x = 39,952.23/278.30
  6. Step 6: Final answer
    x = 143.56

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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.