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Finding the Fourth Proportional to 229.71, 317.04 and 141.21

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Solution

The fourth proportional to 229.71, 317.04 and 141.21 is: 194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.71 : 317.04 = 141.21 : x
  2. Step 2: Convert to fraction form
    229.71/317.04 = 141.21/x
  3. Step 3: Cross multiply
    229.71x = 317.04 × 141.21
  4. Step 4: Simplify right side
    229.71x = 44,769.22
  5. Step 5: Solve for x
    x = 44,769.22/229.71
  6. Step 6: Final answer
    x = 194.89

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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.