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Finding the Fourth Proportional to 269.78, 401.93 and 266.01

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Solution

The fourth proportional to 269.78, 401.93 and 266.01 is: 396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.78 : 401.93 = 266.01 : x
  2. Step 2: Convert to fraction form
    269.78/401.93 = 266.01/x
  3. Step 3: Cross multiply
    269.78x = 401.93 × 266.01
  4. Step 4: Simplify right side
    269.78x = 106,916.07
  5. Step 5: Solve for x
    x = 106,916.07/269.78
  6. Step 6: Final answer
    x = 396.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.