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Finding the Fourth Proportional to 229.74, 317.06 and 142.41

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Solution

The fourth proportional to 229.74, 317.06 and 142.41 is: 196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.74 : 317.06 = 142.41 : x
  2. Step 2: Convert to fraction form
    229.74/317.06 = 142.41/x
  3. Step 3: Cross multiply
    229.74x = 317.06 × 142.41
  4. Step 4: Simplify right side
    229.74x = 45,152.54
  5. Step 5: Solve for x
    x = 45,152.54/229.74
  6. Step 6: Final answer
    x = 196.54

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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.