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Finding the Fourth Proportional to 229.76, 316.92 and 146.84

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Solution

The fourth proportional to 229.76, 316.92 and 146.84 is: 202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 316.92 = 146.84 : x
  2. Step 2: Convert to fraction form
    229.76/316.92 = 146.84/x
  3. Step 3: Cross multiply
    229.76x = 316.92 × 146.84
  4. Step 4: Simplify right side
    229.76x = 46,534.95
  5. Step 5: Solve for x
    x = 46,534.95/229.76
  6. Step 6: Final answer
    x = 202.54

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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.