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Finding the Fourth Proportional to 262.42, 391.75 and 207.76

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Solution

The fourth proportional to 262.42, 391.75 and 207.76 is: 310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.42 : 391.75 = 207.76 : x
  2. Step 2: Convert to fraction form
    262.42/391.75 = 207.76/x
  3. Step 3: Cross multiply
    262.42x = 391.75 × 207.76
  4. Step 4: Simplify right side
    262.42x = 81,389.98
  5. Step 5: Solve for x
    x = 81,389.98/262.42
  6. Step 6: Final answer
    x = 310.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.