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Finding the Fourth Proportional to 267.84, 369 and 209.52

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Solution

The fourth proportional to 267.84, 369 and 209.52 is: 288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.84 : 369 = 209.52 : x
  2. Step 2: Convert to fraction form
    267.84/369 = 209.52/x
  3. Step 3: Cross multiply
    267.84x = 369 × 209.52
  4. Step 4: Simplify right side
    267.84x = 77,312.88
  5. Step 5: Solve for x
    x = 77,312.88/267.84
  6. Step 6: Final answer
    x = 288.65

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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.