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Finding the Fourth Proportional to 215.39, 322.68 and 167.06

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Solution

The fourth proportional to 215.39, 322.68 and 167.06 is: 250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.39 : 322.68 = 167.06 : x
  2. Step 2: Convert to fraction form
    215.39/322.68 = 167.06/x
  3. Step 3: Cross multiply
    215.39x = 322.68 × 167.06
  4. Step 4: Simplify right side
    215.39x = 53,906.92
  5. Step 5: Solve for x
    x = 53,906.92/215.39
  6. Step 6: Final answer
    x = 250.28

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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.