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Finding the Fourth Proportional to 278.65, 415.51 and 269.74

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Solution

The fourth proportional to 278.65, 415.51 and 269.74 is: 402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.65 : 415.51 = 269.74 : x
  2. Step 2: Convert to fraction form
    278.65/415.51 = 269.74/x
  3. Step 3: Cross multiply
    278.65x = 415.51 × 269.74
  4. Step 4: Simplify right side
    278.65x = 112,079.67
  5. Step 5: Solve for x
    x = 112,079.67/278.65
  6. Step 6: Final answer
    x = 402.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.