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Finding the Fourth Proportional to 263.90, 395.60 and 142.17

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Solution

The fourth proportional to 263.90, 395.60 and 142.17 is: 213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.90 : 395.60 = 142.17 : x
  2. Step 2: Convert to fraction form
    263.90/395.60 = 142.17/x
  3. Step 3: Cross multiply
    263.90x = 395.60 × 142.17
  4. Step 4: Simplify right side
    263.90x = 56,241.74
  5. Step 5: Solve for x
    x = 56,241.74/263.90
  6. Step 6: Final answer
    x = 213.12

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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.