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Finding the Fourth Proportional to 230.91, 318.49 and 157.10

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Solution

The fourth proportional to 230.91, 318.49 and 157.10 is: 216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.91 : 318.49 = 157.10 : x
  2. Step 2: Convert to fraction form
    230.91/318.49 = 157.10/x
  3. Step 3: Cross multiply
    230.91x = 318.49 × 157.10
  4. Step 4: Simplify right side
    230.91x = 50,034.78
  5. Step 5: Solve for x
    x = 50,034.78/230.91
  6. Step 6: Final answer
    x = 216.69

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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.