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Finding the Fourth Proportional to 297.16, 409.52 and 218.50

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Solution

The fourth proportional to 297.16, 409.52 and 218.50 is: 301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.16 : 409.52 = 218.50 : x
  2. Step 2: Convert to fraction form
    297.16/409.52 = 218.50/x
  3. Step 3: Cross multiply
    297.16x = 409.52 × 218.50
  4. Step 4: Simplify right side
    297.16x = 89,480.12
  5. Step 5: Solve for x
    x = 89,480.12/297.16
  6. Step 6: Final answer
    x = 301.12

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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.