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Finding the Fourth Proportional to 297.23, 410.10 and 179.16

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Solution

The fourth proportional to 297.23, 410.10 and 179.16 is: 247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.23 : 410.10 = 179.16 : x
  2. Step 2: Convert to fraction form
    297.23/410.10 = 179.16/x
  3. Step 3: Cross multiply
    297.23x = 410.10 × 179.16
  4. Step 4: Simplify right side
    297.23x = 73,473.52
  5. Step 5: Solve for x
    x = 73,473.52/297.23
  6. Step 6: Final answer
    x = 247.20

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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.