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Finding the Fourth Proportional to 267.46, 368.78 and 169.06

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Solution

The fourth proportional to 267.46, 368.78 and 169.06 is: 233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.46 : 368.78 = 169.06 : x
  2. Step 2: Convert to fraction form
    267.46/368.78 = 169.06/x
  3. Step 3: Cross multiply
    267.46x = 368.78 × 169.06
  4. Step 4: Simplify right side
    267.46x = 62,345.95
  5. Step 5: Solve for x
    x = 62,345.95/267.46
  6. Step 6: Final answer
    x = 233.10

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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.