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Finding the Fourth Proportional to 267.15, 368.70 and 184.35

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Solution

The fourth proportional to 267.15, 368.70 and 184.35 is: 254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.15 : 368.70 = 184.35 : x
  2. Step 2: Convert to fraction form
    267.15/368.70 = 184.35/x
  3. Step 3: Cross multiply
    267.15x = 368.70 × 184.35
  4. Step 4: Simplify right side
    267.15x = 67,969.85
  5. Step 5: Solve for x
    x = 67,969.85/267.15
  6. Step 6: Final answer
    x = 254.43

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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.