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Finding the Fourth Proportional to 213.44, 294.48 and 135.76

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Solution

The fourth proportional to 213.44, 294.48 and 135.76 is: 187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.44 : 294.48 = 135.76 : x
  2. Step 2: Convert to fraction form
    213.44/294.48 = 135.76/x
  3. Step 3: Cross multiply
    213.44x = 294.48 × 135.76
  4. Step 4: Simplify right side
    213.44x = 39,978.60
  5. Step 5: Solve for x
    x = 39,978.60/213.44
  6. Step 6: Final answer
    x = 187.31

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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.