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Finding the Fourth Proportional to 229.36, 345.88 and 197.68

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Solution

The fourth proportional to 229.36, 345.88 and 197.68 is: 298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.36 : 345.88 = 197.68 : x
  2. Step 2: Convert to fraction form
    229.36/345.88 = 197.68/x
  3. Step 3: Cross multiply
    229.36x = 345.88 × 197.68
  4. Step 4: Simplify right side
    229.36x = 68,373.56
  5. Step 5: Solve for x
    x = 68,373.56/229.36
  6. Step 6: Final answer
    x = 298.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.