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Finding the Fourth Proportional to 231, 317.85 and 223.02

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Solution

The fourth proportional to 231, 317.85 and 223.02 is: 306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231 : 317.85 = 223.02 : x
  2. Step 2: Convert to fraction form
    231/317.85 = 223.02/x
  3. Step 3: Cross multiply
    231x = 317.85 × 223.02
  4. Step 4: Simplify right side
    231x = 70,886.91
  5. Step 5: Solve for x
    x = 70,886.91/231
  6. Step 6: Final answer
    x = 306.87

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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.