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Finding the Fourth Proportional to 267.28, 368.40 and 257.20

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Solution

The fourth proportional to 267.28, 368.40 and 257.20 is: 354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.28 : 368.40 = 257.20 : x
  2. Step 2: Convert to fraction form
    267.28/368.40 = 257.20/x
  3. Step 3: Cross multiply
    267.28x = 368.40 × 257.20
  4. Step 4: Simplify right side
    267.28x = 94,752.48
  5. Step 5: Solve for x
    x = 94,752.48/267.28
  6. Step 6: Final answer
    x = 354.51

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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.