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Finding the Fourth Proportional to 267.40, 368.68 and 197.36

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Solution

The fourth proportional to 267.40, 368.68 and 197.36 is: 272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.40 : 368.68 = 197.36 : x
  2. Step 2: Convert to fraction form
    267.40/368.68 = 197.36/x
  3. Step 3: Cross multiply
    267.40x = 368.68 × 197.36
  4. Step 4: Simplify right side
    267.40x = 72,762.68
  5. Step 5: Solve for x
    x = 72,762.68/267.40
  6. Step 6: Final answer
    x = 272.11

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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.