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Finding the Fourth Proportional to 267.99, 369.84 and 151.55

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Solution

The fourth proportional to 267.99, 369.84 and 151.55 is: 209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.99 : 369.84 = 151.55 : x
  2. Step 2: Convert to fraction form
    267.99/369.84 = 151.55/x
  3. Step 3: Cross multiply
    267.99x = 369.84 × 151.55
  4. Step 4: Simplify right side
    267.99x = 56,047.40
  5. Step 5: Solve for x
    x = 56,047.40/267.99
  6. Step 6: Final answer
    x = 209.14

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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.