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Finding the Fourth Proportional to 213.24, 294.30 and 135.84

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Solution

The fourth proportional to 213.24, 294.30 and 135.84 is: 187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.24 : 294.30 = 135.84 : x
  2. Step 2: Convert to fraction form
    213.24/294.30 = 135.84/x
  3. Step 3: Cross multiply
    213.24x = 294.30 × 135.84
  4. Step 4: Simplify right side
    213.24x = 39,977.71
  5. Step 5: Solve for x
    x = 39,977.71/213.24
  6. Step 6: Final answer
    x = 187.48

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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.