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Finding the Fourth Proportional to 309.26, 463.87 and 78.15

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Solution

The fourth proportional to 309.26, 463.87 and 78.15 is: 117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.26 : 463.87 = 78.15 : x
  2. Step 2: Convert to fraction form
    309.26/463.87 = 78.15/x
  3. Step 3: Cross multiply
    309.26x = 463.87 × 78.15
  4. Step 4: Simplify right side
    309.26x = 36,251.44
  5. Step 5: Solve for x
    x = 36,251.44/309.26
  6. Step 6: Final answer
    x = 117.22

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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.