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Finding the Fourth Proportional to 297.67, 410.91 and 224.00

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Solution

The fourth proportional to 297.67, 410.91 and 224.00 is: 309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.67 : 410.91 = 224.00 : x
  2. Step 2: Convert to fraction form
    297.67/410.91 = 224.00/x
  3. Step 3: Cross multiply
    297.67x = 410.91 × 224.00
  4. Step 4: Simplify right side
    297.67x = 92,044.07
  5. Step 5: Solve for x
    x = 92,044.07/297.67
  6. Step 6: Final answer
    x = 309.22

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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.