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Finding the Fourth Proportional to 229.13, 316.00 and 141.65

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Solution

The fourth proportional to 229.13, 316.00 and 141.65 is: 195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.13 : 316.00 = 141.65 : x
  2. Step 2: Convert to fraction form
    229.13/316.00 = 141.65/x
  3. Step 3: Cross multiply
    229.13x = 316.00 × 141.65
  4. Step 4: Simplify right side
    229.13x = 44,759.11
  5. Step 5: Solve for x
    x = 44,759.11/229.13
  6. Step 6: Final answer
    x = 195.35

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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.