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Finding the Fourth Proportional to 229.40, 316.14 and 189.92

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Solution

The fourth proportional to 229.40, 316.14 and 189.92 is: 261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.40 : 316.14 = 189.92 : x
  2. Step 2: Convert to fraction form
    229.40/316.14 = 189.92/x
  3. Step 3: Cross multiply
    229.40x = 316.14 × 189.92
  4. Step 4: Simplify right side
    229.40x = 60,041.31
  5. Step 5: Solve for x
    x = 60,041.31/229.40
  6. Step 6: Final answer
    x = 261.73

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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.