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Finding the Fourth Proportional to 213.40, 294.42 and 135.82

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Solution

The fourth proportional to 213.40, 294.42 and 135.82 is: 187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.40 : 294.42 = 135.82 : x
  2. Step 2: Convert to fraction form
    213.40/294.42 = 135.82/x
  3. Step 3: Cross multiply
    213.40x = 294.42 × 135.82
  4. Step 4: Simplify right side
    213.40x = 39,988.12
  5. Step 5: Solve for x
    x = 39,988.12/213.40
  6. Step 6: Final answer
    x = 187.39

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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.