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Finding the Fourth Proportional to 267.40, 368.82 and 180.04

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Solution

The fourth proportional to 267.40, 368.82 and 180.04 is: 248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.40 : 368.82 = 180.04 : x
  2. Step 2: Convert to fraction form
    267.40/368.82 = 180.04/x
  3. Step 3: Cross multiply
    267.40x = 368.82 × 180.04
  4. Step 4: Simplify right side
    267.40x = 66,402.35
  5. Step 5: Solve for x
    x = 66,402.35/267.40
  6. Step 6: Final answer
    x = 248.33

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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.