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Finding the Fourth Proportional to 267.42, 368.98 and 169.30

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Solution

The fourth proportional to 267.42, 368.98 and 169.30 is: 233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.42 : 368.98 = 169.30 : x
  2. Step 2: Convert to fraction form
    267.42/368.98 = 169.30/x
  3. Step 3: Cross multiply
    267.42x = 368.98 × 169.30
  4. Step 4: Simplify right side
    267.42x = 62,468.31
  5. Step 5: Solve for x
    x = 62,468.31/267.42
  6. Step 6: Final answer
    x = 233.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.