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Finding the Fourth Proportional to 266.56, 368.35 and 257.44

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Solution

The fourth proportional to 266.56, 368.35 and 257.44 is: 355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.56 : 368.35 = 257.44 : x
  2. Step 2: Convert to fraction form
    266.56/368.35 = 257.44/x
  3. Step 3: Cross multiply
    266.56x = 368.35 × 257.44
  4. Step 4: Simplify right side
    266.56x = 94,828.02
  5. Step 5: Solve for x
    x = 94,828.02/266.56
  6. Step 6: Final answer
    x = 355.75

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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.