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Finding the Fourth Proportional to 264.14, 394.18 and 232.15

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Solution

The fourth proportional to 264.14, 394.18 and 232.15 is: 346.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.14 : 394.18 = 232.15 : x
  2. Step 2: Convert to fraction form
    264.14/394.18 = 232.15/x
  3. Step 3: Cross multiply
    264.14x = 394.18 × 232.15
  4. Step 4: Simplify right side
    264.14x = 91,508.89
  5. Step 5: Solve for x
    x = 91,508.89/264.14
  6. Step 6: Final answer
    x = 346.44

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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.