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Finding the Fourth Proportional to 264.17, 396.29 and 182.84

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Solution

The fourth proportional to 264.17, 396.29 and 182.84 is: 274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.17 : 396.29 = 182.84 : x
  2. Step 2: Convert to fraction form
    264.17/396.29 = 182.84/x
  3. Step 3: Cross multiply
    264.17x = 396.29 × 182.84
  4. Step 4: Simplify right side
    264.17x = 72,454.77
  5. Step 5: Solve for x
    x = 72,454.77/264.17
  6. Step 6: Final answer
    x = 274.28

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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.