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Finding the Fourth Proportional to 309.12, 463.65 and 116.61

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Solution

The fourth proportional to 309.12, 463.65 and 116.61 is: 174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 463.65 = 116.61 : x
  2. Step 2: Convert to fraction form
    309.12/463.65 = 116.61/x
  3. Step 3: Cross multiply
    309.12x = 463.65 × 116.61
  4. Step 4: Simplify right side
    309.12x = 54,066.23
  5. Step 5: Solve for x
    x = 54,066.23/309.12
  6. Step 6: Final answer
    x = 174.90

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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.