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Finding the Fourth Proportional to 278.65, 418.04 and 96.04

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Solution

The fourth proportional to 278.65, 418.04 and 96.04 is: 144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.65 : 418.04 = 96.04 : x
  2. Step 2: Convert to fraction form
    278.65/418.04 = 96.04/x
  3. Step 3: Cross multiply
    278.65x = 418.04 × 96.04
  4. Step 4: Simplify right side
    278.65x = 40,148.56
  5. Step 5: Solve for x
    x = 40,148.56/278.65
  6. Step 6: Final answer
    x = 144.08

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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.