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Finding the Fourth Proportional to 267.24, 368.96 and 189.76

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Solution

The fourth proportional to 267.24, 368.96 and 189.76 is: 261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.24 : 368.96 = 189.76 : x
  2. Step 2: Convert to fraction form
    267.24/368.96 = 189.76/x
  3. Step 3: Cross multiply
    267.24x = 368.96 × 189.76
  4. Step 4: Simplify right side
    267.24x = 70,013.85
  5. Step 5: Solve for x
    x = 70,013.85/267.24
  6. Step 6: Final answer
    x = 261.99

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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.