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Finding the Fourth Proportional to 215.16, 297.15 and 171.81

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Solution

The fourth proportional to 215.16, 297.15 and 171.81 is: 237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.16 : 297.15 = 171.81 : x
  2. Step 2: Convert to fraction form
    215.16/297.15 = 171.81/x
  3. Step 3: Cross multiply
    215.16x = 297.15 × 171.81
  4. Step 4: Simplify right side
    215.16x = 51,053.34
  5. Step 5: Solve for x
    x = 51,053.34/215.16
  6. Step 6: Final answer
    x = 237.28

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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.