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Finding the Fourth Proportional to 263.40, 395.10 and 142.43

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Solution

The fourth proportional to 263.40, 395.10 and 142.43 is: 213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.40 : 395.10 = 142.43 : x
  2. Step 2: Convert to fraction form
    263.40/395.10 = 142.43/x
  3. Step 3: Cross multiply
    263.40x = 395.10 × 142.43
  4. Step 4: Simplify right side
    263.40x = 56,275.08
  5. Step 5: Solve for x
    x = 56,275.08/263.40
  6. Step 6: Final answer
    x = 213.65

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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.