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Finding the Fourth Proportional to 309.31, 463.89 and 92.90

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Solution

The fourth proportional to 309.31, 463.89 and 92.90 is: 139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.31 : 463.89 = 92.90 : x
  2. Step 2: Convert to fraction form
    309.31/463.89 = 92.90/x
  3. Step 3: Cross multiply
    309.31x = 463.89 × 92.90
  4. Step 4: Simplify right side
    309.31x = 43,095.38
  5. Step 5: Solve for x
    x = 43,095.38/309.31
  6. Step 6: Final answer
    x = 139.33

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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.