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Finding the Fourth Proportional to 267.82, 368.82 and 202.20

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Solution

The fourth proportional to 267.82, 368.82 and 202.20 is: 278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.82 : 368.82 = 202.20 : x
  2. Step 2: Convert to fraction form
    267.82/368.82 = 202.20/x
  3. Step 3: Cross multiply
    267.82x = 368.82 × 202.20
  4. Step 4: Simplify right side
    267.82x = 74,575.40
  5. Step 5: Solve for x
    x = 74,575.40/267.82
  6. Step 6: Final answer
    x = 278.45

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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.