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Finding the Fourth Proportional to 297.33, 410.32 and 179.31

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Solution

The fourth proportional to 297.33, 410.32 and 179.31 is: 247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.33 : 410.32 = 179.31 : x
  2. Step 2: Convert to fraction form
    297.33/410.32 = 179.31/x
  3. Step 3: Cross multiply
    297.33x = 410.32 × 179.31
  4. Step 4: Simplify right side
    297.33x = 73,574.26
  5. Step 5: Solve for x
    x = 73,574.26/297.33
  6. Step 6: Final answer
    x = 247.45

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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.