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Finding the Fourth Proportional to 267.06, 368.50 and 160.70

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Solution

The fourth proportional to 267.06, 368.50 and 160.70 is: 221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.06 : 368.50 = 160.70 : x
  2. Step 2: Convert to fraction form
    267.06/368.50 = 160.70/x
  3. Step 3: Cross multiply
    267.06x = 368.50 × 160.70
  4. Step 4: Simplify right side
    267.06x = 59,217.95
  5. Step 5: Solve for x
    x = 59,217.95/267.06
  6. Step 6: Final answer
    x = 221.74

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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.