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Finding the Fourth Proportional to 229.82, 317.05 and 142.44

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Solution

The fourth proportional to 229.82, 317.05 and 142.44 is: 196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.82 : 317.05 = 142.44 : x
  2. Step 2: Convert to fraction form
    229.82/317.05 = 142.44/x
  3. Step 3: Cross multiply
    229.82x = 317.05 × 142.44
  4. Step 4: Simplify right side
    229.82x = 45,160.60
  5. Step 5: Solve for x
    x = 45,160.60/229.82
  6. Step 6: Final answer
    x = 196.50

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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.