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Finding the Fourth Proportional to 215.22, 297.01 and 116.98

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Solution

The fourth proportional to 215.22, 297.01 and 116.98 is: 161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.22 : 297.01 = 116.98 : x
  2. Step 2: Convert to fraction form
    215.22/297.01 = 116.98/x
  3. Step 3: Cross multiply
    215.22x = 297.01 × 116.98
  4. Step 4: Simplify right side
    215.22x = 34,744.23
  5. Step 5: Solve for x
    x = 34,744.23/215.22
  6. Step 6: Final answer
    x = 161.44

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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.