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Finding the Fourth Proportional to 229.77, 317.31 and 213.39

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Solution

The fourth proportional to 229.77, 317.31 and 213.39 is: 294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.77 : 317.31 = 213.39 : x
  2. Step 2: Convert to fraction form
    229.77/317.31 = 213.39/x
  3. Step 3: Cross multiply
    229.77x = 317.31 × 213.39
  4. Step 4: Simplify right side
    229.77x = 67,710.78
  5. Step 5: Solve for x
    x = 67,710.78/229.77
  6. Step 6: Final answer
    x = 294.69

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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.