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Finding the Fourth Proportional to 263.40, 363.62 and 165.19

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Solution

The fourth proportional to 263.40, 363.62 and 165.19 is: 228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.40 : 363.62 = 165.19 : x
  2. Step 2: Convert to fraction form
    263.40/363.62 = 165.19/x
  3. Step 3: Cross multiply
    263.40x = 363.62 × 165.19
  4. Step 4: Simplify right side
    263.40x = 60,066.39
  5. Step 5: Solve for x
    x = 60,066.39/263.40
  6. Step 6: Final answer
    x = 228.04

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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.