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Finding the Fourth Proportional to 215.01, 296.68 and 136.29

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Solution

The fourth proportional to 215.01, 296.68 and 136.29 is: 188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.01 : 296.68 = 136.29 : x
  2. Step 2: Convert to fraction form
    215.01/296.68 = 136.29/x
  3. Step 3: Cross multiply
    215.01x = 296.68 × 136.29
  4. Step 4: Simplify right side
    215.01x = 40,434.52
  5. Step 5: Solve for x
    x = 40,434.52/215.01
  6. Step 6: Final answer
    x = 188.06

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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.