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Finding the Fourth Proportional to 267.19, 368.75 and 180.05

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Solution

The fourth proportional to 267.19, 368.75 and 180.05 is: 248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.19 : 368.75 = 180.05 : x
  2. Step 2: Convert to fraction form
    267.19/368.75 = 180.05/x
  3. Step 3: Cross multiply
    267.19x = 368.75 × 180.05
  4. Step 4: Simplify right side
    267.19x = 66,392.04
  5. Step 5: Solve for x
    x = 66,392.04/267.19
  6. Step 6: Final answer
    x = 248.48

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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.