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Finding the Fourth Proportional to 213.57, 294.71 and 135.95

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Solution

The fourth proportional to 213.57, 294.71 and 135.95 is: 187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.57 : 294.71 = 135.95 : x
  2. Step 2: Convert to fraction form
    213.57/294.71 = 135.95/x
  3. Step 3: Cross multiply
    213.57x = 294.71 × 135.95
  4. Step 4: Simplify right side
    213.57x = 40,063.67
  5. Step 5: Solve for x
    x = 40,063.67/213.57
  6. Step 6: Final answer
    x = 187.59

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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.