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Finding the Fourth Proportional to 229.62, 316.84 and 146.80

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Solution

The fourth proportional to 229.62, 316.84 and 146.80 is: 202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.62 : 316.84 = 146.80 : x
  2. Step 2: Convert to fraction form
    229.62/316.84 = 146.80/x
  3. Step 3: Cross multiply
    229.62x = 316.84 × 146.80
  4. Step 4: Simplify right side
    229.62x = 46,512.11
  5. Step 5: Solve for x
    x = 46,512.11/229.62
  6. Step 6: Final answer
    x = 202.56

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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.