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Finding the Fourth Proportional to 209.67, 291.35 and 207.42

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Solution

The fourth proportional to 209.67, 291.35 and 207.42 is: 288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.67 : 291.35 = 207.42 : x
  2. Step 2: Convert to fraction form
    209.67/291.35 = 207.42/x
  3. Step 3: Cross multiply
    209.67x = 291.35 × 207.42
  4. Step 4: Simplify right side
    209.67x = 60,430.78
  5. Step 5: Solve for x
    x = 60,430.78/209.67
  6. Step 6: Final answer
    x = 288.22

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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.