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Finding the Fourth Proportional to 262.77, 394.55 and 165.87

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Solution

The fourth proportional to 262.77, 394.55 and 165.87 is: 249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.77 : 394.55 = 165.87 : x
  2. Step 2: Convert to fraction form
    262.77/394.55 = 165.87/x
  3. Step 3: Cross multiply
    262.77x = 394.55 × 165.87
  4. Step 4: Simplify right side
    262.77x = 65,444.01
  5. Step 5: Solve for x
    x = 65,444.01/262.77
  6. Step 6: Final answer
    x = 249.05

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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.