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Finding the Fourth Proportional to 230.10, 316.89 and 223.89

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Solution

The fourth proportional to 230.10, 316.89 and 223.89 is: 308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.10 : 316.89 = 223.89 : x
  2. Step 2: Convert to fraction form
    230.10/316.89 = 223.89/x
  3. Step 3: Cross multiply
    230.10x = 316.89 × 223.89
  4. Step 4: Simplify right side
    230.10x = 70,948.50
  5. Step 5: Solve for x
    x = 70,948.50/230.10
  6. Step 6: Final answer
    x = 308.34

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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.