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Finding the Fourth Proportional to 287.65, 431.48 and 179.92

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Solution

The fourth proportional to 287.65, 431.48 and 179.92 is: 269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.65 : 431.48 = 179.92 : x
  2. Step 2: Convert to fraction form
    287.65/431.48 = 179.92/x
  3. Step 3: Cross multiply
    287.65x = 431.48 × 179.92
  4. Step 4: Simplify right side
    287.65x = 77,631.88
  5. Step 5: Solve for x
    x = 77,631.88/287.65
  6. Step 6: Final answer
    x = 269.88

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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.