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Finding the Fourth Proportional to 263.84, 395.36 and 142.08

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Solution

The fourth proportional to 263.84, 395.36 and 142.08 is: 212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.84 : 395.36 = 142.08 : x
  2. Step 2: Convert to fraction form
    263.84/395.36 = 142.08/x
  3. Step 3: Cross multiply
    263.84x = 395.36 × 142.08
  4. Step 4: Simplify right side
    263.84x = 56,172.75
  5. Step 5: Solve for x
    x = 56,172.75/263.84
  6. Step 6: Final answer
    x = 212.90

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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.