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Finding the Fourth Proportional to 264.57, 396.74 and 154.94

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Solution

The fourth proportional to 264.57, 396.74 and 154.94 is: 232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.57 : 396.74 = 154.94 : x
  2. Step 2: Convert to fraction form
    264.57/396.74 = 154.94/x
  3. Step 3: Cross multiply
    264.57x = 396.74 × 154.94
  4. Step 4: Simplify right side
    264.57x = 61,468.14
  5. Step 5: Solve for x
    x = 61,468.14/264.57
  6. Step 6: Final answer
    x = 232.33

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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.