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Finding the Fourth Proportional to 213.84, 293.55 and 209.76

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Solution

The fourth proportional to 213.84, 293.55 and 209.76 is: 287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.84 : 293.55 = 209.76 : x
  2. Step 2: Convert to fraction form
    213.84/293.55 = 209.76/x
  3. Step 3: Cross multiply
    213.84x = 293.55 × 209.76
  4. Step 4: Simplify right side
    213.84x = 61,575.05
  5. Step 5: Solve for x
    x = 61,575.05/213.84
  6. Step 6: Final answer
    x = 287.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.