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Finding the Fourth Proportional to 229.13, 316.31 and 146.30

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Solution

The fourth proportional to 229.13, 316.31 and 146.30 is: 201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.13 : 316.31 = 146.30 : x
  2. Step 2: Convert to fraction form
    229.13/316.31 = 146.30/x
  3. Step 3: Cross multiply
    229.13x = 316.31 × 146.30
  4. Step 4: Simplify right side
    229.13x = 46,276.15
  5. Step 5: Solve for x
    x = 46,276.15/229.13
  6. Step 6: Final answer
    x = 201.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.