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Finding the Fourth Proportional to 243, 332.10 and 231.66

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Solution

The fourth proportional to 243, 332.10 and 231.66 is: 316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243 : 332.10 = 231.66 : x
  2. Step 2: Convert to fraction form
    243/332.10 = 231.66/x
  3. Step 3: Cross multiply
    243x = 332.10 × 231.66
  4. Step 4: Simplify right side
    243x = 76,934.29
  5. Step 5: Solve for x
    x = 76,934.29/243
  6. Step 6: Final answer
    x = 316.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.