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Finding the Fourth Proportional to 215.57, 297.18 and 149.18

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Solution

The fourth proportional to 215.57, 297.18 and 149.18 is: 205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.57 : 297.18 = 149.18 : x
  2. Step 2: Convert to fraction form
    215.57/297.18 = 149.18/x
  3. Step 3: Cross multiply
    215.57x = 297.18 × 149.18
  4. Step 4: Simplify right side
    215.57x = 44,331.83
  5. Step 5: Solve for x
    x = 44,331.83/215.57
  6. Step 6: Final answer
    x = 205.65

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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.