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Finding the Fourth Proportional to 230.50, 317.67 and 213.10

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Solution

The fourth proportional to 230.50, 317.67 and 213.10 is: 293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.50 : 317.67 = 213.10 : x
  2. Step 2: Convert to fraction form
    230.50/317.67 = 213.10/x
  3. Step 3: Cross multiply
    230.50x = 317.67 × 213.10
  4. Step 4: Simplify right side
    230.50x = 67,695.48
  5. Step 5: Solve for x
    x = 67,695.48/230.50
  6. Step 6: Final answer
    x = 293.69

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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.