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Finding the Fourth Proportional to 267.84, 368.72 and 202.24

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Solution

The fourth proportional to 267.84, 368.72 and 202.24 is: 278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.84 : 368.72 = 202.24 : x
  2. Step 2: Convert to fraction form
    267.84/368.72 = 202.24/x
  3. Step 3: Cross multiply
    267.84x = 368.72 × 202.24
  4. Step 4: Simplify right side
    267.84x = 74,569.93
  5. Step 5: Solve for x
    x = 74,569.93/267.84
  6. Step 6: Final answer
    x = 278.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.