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Finding the Fourth Proportional to 287.69, 432.22 and 185.17

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Solution

The fourth proportional to 287.69, 432.22 and 185.17 is: 278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.69 : 432.22 = 185.17 : x
  2. Step 2: Convert to fraction form
    287.69/432.22 = 185.17/x
  3. Step 3: Cross multiply
    287.69x = 432.22 × 185.17
  4. Step 4: Simplify right side
    287.69x = 80,034.18
  5. Step 5: Solve for x
    x = 80,034.18/287.69
  6. Step 6: Final answer
    x = 278.20

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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.