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Finding the Fourth Proportional to 262.99, 394.61 and 100.69

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Solution

The fourth proportional to 262.99, 394.61 and 100.69 is: 151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.99 : 394.61 = 100.69 : x
  2. Step 2: Convert to fraction form
    262.99/394.61 = 100.69/x
  3. Step 3: Cross multiply
    262.99x = 394.61 × 100.69
  4. Step 4: Simplify right side
    262.99x = 39,731.79
  5. Step 5: Solve for x
    x = 39,731.79/262.99
  6. Step 6: Final answer
    x = 151.08

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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.