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Finding the Fourth Proportional to 262.16, 392.42 and 165.77

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Solution

The fourth proportional to 262.16, 392.42 and 165.77 is: 248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.16 : 392.42 = 165.77 : x
  2. Step 2: Convert to fraction form
    262.16/392.42 = 165.77/x
  3. Step 3: Cross multiply
    262.16x = 392.42 × 165.77
  4. Step 4: Simplify right side
    262.16x = 65,049.92
  5. Step 5: Solve for x
    x = 65,049.92/262.16
  6. Step 6: Final answer
    x = 248.14

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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.