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Finding the Fourth Proportional to 230.61, 317.46 and 217.24

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Solution

The fourth proportional to 230.61, 317.46 and 217.24 is: 299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.61 : 317.46 = 217.24 : x
  2. Step 2: Convert to fraction form
    230.61/317.46 = 217.24/x
  3. Step 3: Cross multiply
    230.61x = 317.46 × 217.24
  4. Step 4: Simplify right side
    230.61x = 68,965.01
  5. Step 5: Solve for x
    x = 68,965.01/230.61
  6. Step 6: Final answer
    x = 299.06

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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.