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Finding the Fourth Proportional to 287.56, 431.76 and 179.80

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Solution

The fourth proportional to 287.56, 431.76 and 179.80 is: 269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.56 : 431.76 = 179.80 : x
  2. Step 2: Convert to fraction form
    287.56/431.76 = 179.80/x
  3. Step 3: Cross multiply
    287.56x = 431.76 × 179.80
  4. Step 4: Simplify right side
    287.56x = 77,630.45
  5. Step 5: Solve for x
    x = 77,630.45/287.56
  6. Step 6: Final answer
    x = 269.96

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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.