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Finding the Fourth Proportional to 229.38, 316.46 and 146.48

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Solution

The fourth proportional to 229.38, 316.46 and 146.48 is: 202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.38 : 316.46 = 146.48 : x
  2. Step 2: Convert to fraction form
    229.38/316.46 = 146.48/x
  3. Step 3: Cross multiply
    229.38x = 316.46 × 146.48
  4. Step 4: Simplify right side
    229.38x = 46,355.06
  5. Step 5: Solve for x
    x = 46,355.06/229.38
  6. Step 6: Final answer
    x = 202.09

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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.