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Finding the Fourth Proportional to 215.83, 298.15 and 167.33

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Solution

The fourth proportional to 215.83, 298.15 and 167.33 is: 231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.83 : 298.15 = 167.33 : x
  2. Step 2: Convert to fraction form
    215.83/298.15 = 167.33/x
  3. Step 3: Cross multiply
    215.83x = 298.15 × 167.33
  4. Step 4: Simplify right side
    215.83x = 49,887.11
  5. Step 5: Solve for x
    x = 49,887.11/215.83
  6. Step 6: Final answer
    x = 231.15

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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.