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Finding the Fourth Proportional to 263.84, 394.92 and 141.72

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Solution

The fourth proportional to 263.84, 394.92 and 141.72 is: 212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.84 : 394.92 = 141.72 : x
  2. Step 2: Convert to fraction form
    263.84/394.92 = 141.72/x
  3. Step 3: Cross multiply
    263.84x = 394.92 × 141.72
  4. Step 4: Simplify right side
    263.84x = 55,968.06
  5. Step 5: Solve for x
    x = 55,968.06/263.84
  6. Step 6: Final answer
    x = 212.13

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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.