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Finding the Fourth Proportional to 267.45, 368.58 and 193.64

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Solution

The fourth proportional to 267.45, 368.58 and 193.64 is: 266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.45 : 368.58 = 193.64 : x
  2. Step 2: Convert to fraction form
    267.45/368.58 = 193.64/x
  3. Step 3: Cross multiply
    267.45x = 368.58 × 193.64
  4. Step 4: Simplify right side
    267.45x = 71,370.71
  5. Step 5: Solve for x
    x = 71,370.71/267.45
  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.