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Finding the Fourth Proportional to 262.47, 393.54 and 99.97

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Solution

The fourth proportional to 262.47, 393.54 and 99.97 is: 149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.47 : 393.54 = 99.97 : x
  2. Step 2: Convert to fraction form
    262.47/393.54 = 99.97/x
  3. Step 3: Cross multiply
    262.47x = 393.54 × 99.97
  4. Step 4: Simplify right side
    262.47x = 39,342.19
  5. Step 5: Solve for x
    x = 39,342.19/262.47
  6. Step 6: Final answer
    x = 149.90

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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.