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Finding the Fourth Proportional to 297.66, 410.77 and 173.35

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Solution

The fourth proportional to 297.66, 410.77 and 173.35 is: 239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.66 : 410.77 = 173.35 : x
  2. Step 2: Convert to fraction form
    297.66/410.77 = 173.35/x
  3. Step 3: Cross multiply
    297.66x = 410.77 × 173.35
  4. Step 4: Simplify right side
    297.66x = 71,206.98
  5. Step 5: Solve for x
    x = 71,206.98/297.66
  6. Step 6: Final answer
    x = 239.22

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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.