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Finding the Fourth Proportional to 278.53, 417.80 and 96.13

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Solution

The fourth proportional to 278.53, 417.80 and 96.13 is: 144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.53 : 417.80 = 96.13 : x
  2. Step 2: Convert to fraction form
    278.53/417.80 = 96.13/x
  3. Step 3: Cross multiply
    278.53x = 417.80 × 96.13
  4. Step 4: Simplify right side
    278.53x = 40,163.11
  5. Step 5: Solve for x
    x = 40,163.11/278.53
  6. Step 6: Final answer
    x = 144.20

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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.