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Finding the Fourth Proportional to 272.16, 375.78 and 209.89

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Solution

The fourth proportional to 272.16, 375.78 and 209.89 is: 289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.16 : 375.78 = 209.89 : x
  2. Step 2: Convert to fraction form
    272.16/375.78 = 209.89/x
  3. Step 3: Cross multiply
    272.16x = 375.78 × 209.89
  4. Step 4: Simplify right side
    272.16x = 78,872.46
  5. Step 5: Solve for x
    x = 78,872.46/272.16
  6. Step 6: Final answer
    x = 289.80

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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.