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Finding the Fourth Proportional to 309.27, 463.94 and 92.86

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Solution

The fourth proportional to 309.27, 463.94 and 92.86 is: 139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.27 : 463.94 = 92.86 : x
  2. Step 2: Convert to fraction form
    309.27/463.94 = 92.86/x
  3. Step 3: Cross multiply
    309.27x = 463.94 × 92.86
  4. Step 4: Simplify right side
    309.27x = 43,081.47
  5. Step 5: Solve for x
    x = 43,081.47/309.27
  6. Step 6: Final answer
    x = 139.30

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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.