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Finding the Fourth Proportional to 297.55, 410.62 and 164.77

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Solution

The fourth proportional to 297.55, 410.62 and 164.77 is: 227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.55 : 410.62 = 164.77 : x
  2. Step 2: Convert to fraction form
    297.55/410.62 = 164.77/x
  3. Step 3: Cross multiply
    297.55x = 410.62 × 164.77
  4. Step 4: Simplify right side
    297.55x = 67,659.04
  5. Step 5: Solve for x
    x = 67,659.04/297.55
  6. Step 6: Final answer
    x = 227.39

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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.