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Finding the Fourth Proportional to 229.76, 317.48 and 196.56

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Solution

The fourth proportional to 229.76, 317.48 and 196.56 is: 271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 317.48 = 196.56 : x
  2. Step 2: Convert to fraction form
    229.76/317.48 = 196.56/x
  3. Step 3: Cross multiply
    229.76x = 317.48 × 196.56
  4. Step 4: Simplify right side
    229.76x = 62,403.87
  5. Step 5: Solve for x
    x = 62,403.87/229.76
  6. Step 6: Final answer
    x = 271.60

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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.