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Finding the Fourth Proportional to 215.49, 297.36 and 117.24

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Solution

The fourth proportional to 215.49, 297.36 and 117.24 is: 161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.49 : 297.36 = 117.24 : x
  2. Step 2: Convert to fraction form
    215.49/297.36 = 117.24/x
  3. Step 3: Cross multiply
    215.49x = 297.36 × 117.24
  4. Step 4: Simplify right side
    215.49x = 34,862.94
  5. Step 5: Solve for x
    x = 34,862.94/215.49
  6. Step 6: Final answer
    x = 161.79

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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.