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Finding the Fourth Proportional to 263.66, 394.71 and 164.57

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Solution

The fourth proportional to 263.66, 394.71 and 164.57 is: 246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.66 : 394.71 = 164.57 : x
  2. Step 2: Convert to fraction form
    263.66/394.71 = 164.57/x
  3. Step 3: Cross multiply
    263.66x = 394.71 × 164.57
  4. Step 4: Simplify right side
    263.66x = 64,957.42
  5. Step 5: Solve for x
    x = 64,957.42/263.66
  6. Step 6: Final answer
    x = 246.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.