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Finding the Fourth Proportional to 266.95, 400.80 and 137.06

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Solution

The fourth proportional to 266.95, 400.80 and 137.06 is: 205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.95 : 400.80 = 137.06 : x
  2. Step 2: Convert to fraction form
    266.95/400.80 = 137.06/x
  3. Step 3: Cross multiply
    266.95x = 400.80 × 137.06
  4. Step 4: Simplify right side
    266.95x = 54,935.92
  5. Step 5: Solve for x
    x = 54,935.92/266.95
  6. Step 6: Final answer
    x = 205.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.