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Finding the Fourth Proportional to 213.04, 295.18 and 208.42

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Solution

The fourth proportional to 213.04, 295.18 and 208.42 is: 288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.04 : 295.18 = 208.42 : x
  2. Step 2: Convert to fraction form
    213.04/295.18 = 208.42/x
  3. Step 3: Cross multiply
    213.04x = 295.18 × 208.42
  4. Step 4: Simplify right side
    213.04x = 61,521.69
  5. Step 5: Solve for x
    x = 61,521.69/213.04
  6. Step 6: Final answer
    x = 288.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.