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Finding the Fourth Proportional to 240.04, 331.62 and 209.08

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Solution

The fourth proportional to 240.04, 331.62 and 209.08 is: 288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.04 : 331.62 = 209.08 : x
  2. Step 2: Convert to fraction form
    240.04/331.62 = 209.08/x
  3. Step 3: Cross multiply
    240.04x = 331.62 × 209.08
  4. Step 4: Simplify right side
    240.04x = 69,335.11
  5. Step 5: Solve for x
    x = 69,335.11/240.04
  6. Step 6: Final answer
    x = 288.85

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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.