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Finding the Fourth Proportional to 265.22, 366.37 and 263.40

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Solution

The fourth proportional to 265.22, 366.37 and 263.40 is: 363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.22 : 366.37 = 263.40 : x
  2. Step 2: Convert to fraction form
    265.22/366.37 = 263.40/x
  3. Step 3: Cross multiply
    265.22x = 366.37 × 263.40
  4. Step 4: Simplify right side
    265.22x = 96,501.86
  5. Step 5: Solve for x
    x = 96,501.86/265.22
  6. Step 6: Final answer
    x = 363.86

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