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Finding the Fourth Proportional to 264.11, 394.01 and 234.70

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Solution

The fourth proportional to 264.11, 394.01 and 234.70 is: 350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.11 : 394.01 = 234.70 : x
  2. Step 2: Convert to fraction form
    264.11/394.01 = 234.70/x
  3. Step 3: Cross multiply
    264.11x = 394.01 × 234.70
  4. Step 4: Simplify right side
    264.11x = 92,474.19
  5. Step 5: Solve for x
    x = 92,474.19/264.11
  6. Step 6: Final answer
    x = 350.13

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Why These Related Problems?

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