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Finding the Fourth Proportional to 267.22, 368.85 and 180.01

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Solution

The fourth proportional to 267.22, 368.85 and 180.01 is: 248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.22 : 368.85 = 180.01 : x
  2. Step 2: Convert to fraction form
    267.22/368.85 = 180.01/x
  3. Step 3: Cross multiply
    267.22x = 368.85 × 180.01
  4. Step 4: Simplify right side
    267.22x = 66,396.69
  5. Step 5: Solve for x
    x = 66,396.69/267.22
  6. Step 6: Final answer
    x = 248.47

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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.