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Finding the Fourth Proportional to 229.42, 316.56 and 142.03

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Solution

The fourth proportional to 229.42, 316.56 and 142.03 is: 195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.42 : 316.56 = 142.03 : x
  2. Step 2: Convert to fraction form
    229.42/316.56 = 142.03/x
  3. Step 3: Cross multiply
    229.42x = 316.56 × 142.03
  4. Step 4: Simplify right side
    229.42x = 44,961.02
  5. Step 5: Solve for x
    x = 44,961.02/229.42
  6. Step 6: Final answer
    x = 195.98

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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.