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Finding the Fourth Proportional to 215.82, 297.84 and 117.57

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Solution

The fourth proportional to 215.82, 297.84 and 117.57 is: 162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.82 : 297.84 = 117.57 : x
  2. Step 2: Convert to fraction form
    215.82/297.84 = 117.57/x
  3. Step 3: Cross multiply
    215.82x = 297.84 × 117.57
  4. Step 4: Simplify right side
    215.82x = 35,018.61
  5. Step 5: Solve for x
    x = 35,018.61/215.82
  6. Step 6: Final answer
    x = 162.26

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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.