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Finding the Fourth Proportional to 215.48, 296.34 and 171.74

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Solution

The fourth proportional to 215.48, 296.34 and 171.74 is: 236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.48 : 296.34 = 171.74 : x
  2. Step 2: Convert to fraction form
    215.48/296.34 = 171.74/x
  3. Step 3: Cross multiply
    215.48x = 296.34 × 171.74
  4. Step 4: Simplify right side
    215.48x = 50,893.43
  5. Step 5: Solve for x
    x = 50,893.43/215.48
  6. Step 6: Final answer
    x = 236.19

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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.