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Finding the Fourth Proportional to 262.60, 393.96 and 100.30

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Solution

The fourth proportional to 262.60, 393.96 and 100.30 is: 150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.60 : 393.96 = 100.30 : x
  2. Step 2: Convert to fraction form
    262.60/393.96 = 100.30/x
  3. Step 3: Cross multiply
    262.60x = 393.96 × 100.30
  4. Step 4: Simplify right side
    262.60x = 39,514.19
  5. Step 5: Solve for x
    x = 39,514.19/262.60
  6. Step 6: Final answer
    x = 150.47

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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.