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Finding the Fourth Proportional to 262.74, 394.04 and 100.40

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Solution

The fourth proportional to 262.74, 394.04 and 100.40 is: 150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.74 : 394.04 = 100.40 : x
  2. Step 2: Convert to fraction form
    262.74/394.04 = 100.40/x
  3. Step 3: Cross multiply
    262.74x = 394.04 × 100.40
  4. Step 4: Simplify right side
    262.74x = 39,561.62
  5. Step 5: Solve for x
    x = 39,561.62/262.74
  6. Step 6: Final answer
    x = 150.57

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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.