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Finding the Fourth Proportional to 215.71, 297.55 and 169.01

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Solution

The fourth proportional to 215.71, 297.55 and 169.01 is: 233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.71 : 297.55 = 169.01 : x
  2. Step 2: Convert to fraction form
    215.71/297.55 = 169.01/x
  3. Step 3: Cross multiply
    215.71x = 297.55 × 169.01
  4. Step 4: Simplify right side
    215.71x = 50,288.76
  5. Step 5: Solve for x
    x = 50,288.76/215.71
  6. Step 6: Final answer
    x = 233.13

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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.