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Finding the Fourth Proportional to 263.55, 363.68 and 190

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Solution

The fourth proportional to 263.55, 363.68 and 190 is: 262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.55 : 363.68 = 190 : x
  2. Step 2: Convert to fraction form
    263.55/363.68 = 190/x
  3. Step 3: Cross multiply
    263.55x = 363.68 × 190
  4. Step 4: Simplify right side
    263.55x = 69,099.20
  5. Step 5: Solve for x
    x = 69,099.20/263.55
  6. Step 6: Final answer
    x = 262.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.