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Finding the Fourth Proportional to 297.48, 410.50 and 164.70

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Solution

The fourth proportional to 297.48, 410.50 and 164.70 is: 227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.48 : 410.50 = 164.70 : x
  2. Step 2: Convert to fraction form
    297.48/410.50 = 164.70/x
  3. Step 3: Cross multiply
    297.48x = 410.50 × 164.70
  4. Step 4: Simplify right side
    297.48x = 67,609.35
  5. Step 5: Solve for x
    x = 67,609.35/297.48
  6. Step 6: Final answer
    x = 227.27

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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.