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Finding the Fourth Proportional to 215.35, 297.20 and 162.81

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Solution

The fourth proportional to 215.35, 297.20 and 162.81 is: 224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.35 : 297.20 = 162.81 : x
  2. Step 2: Convert to fraction form
    215.35/297.20 = 162.81/x
  3. Step 3: Cross multiply
    215.35x = 297.20 × 162.81
  4. Step 4: Simplify right side
    215.35x = 48,387.13
  5. Step 5: Solve for x
    x = 48,387.13/215.35
  6. Step 6: Final answer
    x = 224.69

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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.