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Finding the Fourth Proportional to 229.30, 316.44 and 140.78

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Solution

The fourth proportional to 229.30, 316.44 and 140.78 is: 194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.30 : 316.44 = 140.78 : x
  2. Step 2: Convert to fraction form
    229.30/316.44 = 140.78/x
  3. Step 3: Cross multiply
    229.30x = 316.44 × 140.78
  4. Step 4: Simplify right side
    229.30x = 44,548.42
  5. Step 5: Solve for x
    x = 44,548.42/229.30
  6. Step 6: Final answer
    x = 194.28

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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.