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Finding the Fourth Proportional to 262.27, 392.28 and 242.83

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Solution

The fourth proportional to 262.27, 392.28 and 242.83 is: 363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.27 : 392.28 = 242.83 : x
  2. Step 2: Convert to fraction form
    262.27/392.28 = 242.83/x
  3. Step 3: Cross multiply
    262.27x = 392.28 × 242.83
  4. Step 4: Simplify right side
    262.27x = 95,257.35
  5. Step 5: Solve for x
    x = 95,257.35/262.27
  6. Step 6: Final answer
    x = 363.20

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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.