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Finding the Fourth Proportional to 318.66, 439.74 and 187.65

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Solution

The fourth proportional to 318.66, 439.74 and 187.65 is: 258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.66 : 439.74 = 187.65 : x
  2. Step 2: Convert to fraction form
    318.66/439.74 = 187.65/x
  3. Step 3: Cross multiply
    318.66x = 439.74 × 187.65
  4. Step 4: Simplify right side
    318.66x = 82,517.21
  5. Step 5: Solve for x
    x = 82,517.21/318.66
  6. Step 6: Final answer
    x = 258.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.