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Finding the Fourth Proportional to 215.60, 297.41 and 136.78

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Solution

The fourth proportional to 215.60, 297.41 and 136.78 is: 188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.60 : 297.41 = 136.78 : x
  2. Step 2: Convert to fraction form
    215.60/297.41 = 136.78/x
  3. Step 3: Cross multiply
    215.60x = 297.41 × 136.78
  4. Step 4: Simplify right side
    215.60x = 40,678.31
  5. Step 5: Solve for x
    x = 40,678.31/215.60
  6. Step 6: Final answer
    x = 188.68

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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.