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Finding the Fourth Proportional to 215.30, 295.82 and 171.56

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Solution

The fourth proportional to 215.30, 295.82 and 171.56 is: 235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.30 : 295.82 = 171.56 : x
  2. Step 2: Convert to fraction form
    215.30/295.82 = 171.56/x
  3. Step 3: Cross multiply
    215.30x = 295.82 × 171.56
  4. Step 4: Simplify right side
    215.30x = 50,750.88
  5. Step 5: Solve for x
    x = 50,750.88/215.30
  6. Step 6: Final answer
    x = 235.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.