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Finding the Fourth Proportional to 215.25, 322.80 and 107.11

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Solution

The fourth proportional to 215.25, 322.80 and 107.11 is: 160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.25 : 322.80 = 107.11 : x
  2. Step 2: Convert to fraction form
    215.25/322.80 = 107.11/x
  3. Step 3: Cross multiply
    215.25x = 322.80 × 107.11
  4. Step 4: Simplify right side
    215.25x = 34,575.11
  5. Step 5: Solve for x
    x = 34,575.11/215.25
  6. Step 6: Final answer
    x = 160.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.