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Finding the Fourth Proportional to 267.32, 368.66 and 193.50

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Solution

The fourth proportional to 267.32, 368.66 and 193.50 is: 266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.32 : 368.66 = 193.50 : x
  2. Step 2: Convert to fraction form
    267.32/368.66 = 193.50/x
  3. Step 3: Cross multiply
    267.32x = 368.66 × 193.50
  4. Step 4: Simplify right side
    267.32x = 71,335.71
  5. Step 5: Solve for x
    x = 71,335.71/267.32
  6. Step 6: Final answer
    x = 266.86

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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.