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Finding the Fourth Proportional to 297.67, 410.80 and 171.65

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Solution

The fourth proportional to 297.67, 410.80 and 171.65 is: 236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.67 : 410.80 = 171.65 : x
  2. Step 2: Convert to fraction form
    297.67/410.80 = 171.65/x
  3. Step 3: Cross multiply
    297.67x = 410.80 × 171.65
  4. Step 4: Simplify right side
    297.67x = 70,513.82
  5. Step 5: Solve for x
    x = 70,513.82/297.67
  6. Step 6: Final answer
    x = 236.89

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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.