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Finding the Fourth Proportional to 309.22, 463.82 and 187.22

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Solution

The fourth proportional to 309.22, 463.82 and 187.22 is: 280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.22 : 463.82 = 187.22 : x
  2. Step 2: Convert to fraction form
    309.22/463.82 = 187.22/x
  3. Step 3: Cross multiply
    309.22x = 463.82 × 187.22
  4. Step 4: Simplify right side
    309.22x = 86,836.38
  5. Step 5: Solve for x
    x = 86,836.38/309.22
  6. Step 6: Final answer
    x = 280.82

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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.