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Finding the Fourth Proportional to 309.85, 464.65 and 112.14

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Solution

The fourth proportional to 309.85, 464.65 and 112.14 is: 168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.85 : 464.65 = 112.14 : x
  2. Step 2: Convert to fraction form
    309.85/464.65 = 112.14/x
  3. Step 3: Cross multiply
    309.85x = 464.65 × 112.14
  4. Step 4: Simplify right side
    309.85x = 52,105.85
  5. Step 5: Solve for x
    x = 52,105.85/309.85
  6. Step 6: Final answer
    x = 168.16

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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.