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Finding the Fourth Proportional to 229.86, 317.22 and 142.53

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Solution

The fourth proportional to 229.86, 317.22 and 142.53 is: 196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.86 : 317.22 = 142.53 : x
  2. Step 2: Convert to fraction form
    229.86/317.22 = 142.53/x
  3. Step 3: Cross multiply
    229.86x = 317.22 × 142.53
  4. Step 4: Simplify right side
    229.86x = 45,213.37
  5. Step 5: Solve for x
    x = 45,213.37/229.86
  6. Step 6: Final answer
    x = 196.70

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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.