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Finding the Fourth Proportional to 213.42, 319.60 and 136.15

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Solution

The fourth proportional to 213.42, 319.60 and 136.15 is: 203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.42 : 319.60 = 136.15 : x
  2. Step 2: Convert to fraction form
    213.42/319.60 = 136.15/x
  3. Step 3: Cross multiply
    213.42x = 319.60 × 136.15
  4. Step 4: Simplify right side
    213.42x = 43,513.20
  5. Step 5: Solve for x
    x = 43,513.20/213.42
  6. Step 6: Final answer
    x = 203.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.