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Finding the Fourth Proportional to 215.13, 296.61 and 141.33

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Solution

The fourth proportional to 215.13, 296.61 and 141.33 is: 194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.13 : 296.61 = 141.33 : x
  2. Step 2: Convert to fraction form
    215.13/296.61 = 141.33/x
  3. Step 3: Cross multiply
    215.13x = 296.61 × 141.33
  4. Step 4: Simplify right side
    215.13x = 41,919.89
  5. Step 5: Solve for x
    x = 41,919.89/215.13
  6. Step 6: Final answer
    x = 194.86

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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.