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Finding the Fourth Proportional to 278.03, 383.13 and 263.66

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Solution

The fourth proportional to 278.03, 383.13 and 263.66 is: 363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.03 : 383.13 = 263.66 : x
  2. Step 2: Convert to fraction form
    278.03/383.13 = 263.66/x
  3. Step 3: Cross multiply
    278.03x = 383.13 × 263.66
  4. Step 4: Simplify right side
    278.03x = 101,014.14
  5. Step 5: Solve for x
    x = 101,014.14/278.03
  6. Step 6: Final answer
    x = 363.32

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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.