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Finding the Fourth Proportional to 215.92, 297.96 and 117.68

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Solution

The fourth proportional to 215.92, 297.96 and 117.68 is: 162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.92 : 297.96 = 117.68 : x
  2. Step 2: Convert to fraction form
    215.92/297.96 = 117.68/x
  3. Step 3: Cross multiply
    215.92x = 297.96 × 117.68
  4. Step 4: Simplify right side
    215.92x = 35,063.93
  5. Step 5: Solve for x
    x = 35,063.93/215.92
  6. Step 6: Final answer
    x = 162.39

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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.