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Finding the Fourth Proportional to 229.85, 317.14 and 142.48

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Solution

The fourth proportional to 229.85, 317.14 and 142.48 is: 196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.85 : 317.14 = 142.48 : x
  2. Step 2: Convert to fraction form
    229.85/317.14 = 142.48/x
  3. Step 3: Cross multiply
    229.85x = 317.14 × 142.48
  4. Step 4: Simplify right side
    229.85x = 45,186.11
  5. Step 5: Solve for x
    x = 45,186.11/229.85
  6. Step 6: Final answer
    x = 196.59

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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.