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Finding the Fourth Proportional to 209, 288.56 and 150.80

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Solution

The fourth proportional to 209, 288.56 and 150.80 is: 208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209 : 288.56 = 150.80 : x
  2. Step 2: Convert to fraction form
    209/288.56 = 150.80/x
  3. Step 3: Cross multiply
    209x = 288.56 × 150.80
  4. Step 4: Simplify right side
    209x = 43,514.85
  5. Step 5: Solve for x
    x = 43,514.85/209
  6. Step 6: Final answer
    x = 208.21

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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.