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Finding the Fourth Proportional to 262.34, 393.46 and 100.00

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Solution

The fourth proportional to 262.34, 393.46 and 100.00 is: 149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.34 : 393.46 = 100.00 : x
  2. Step 2: Convert to fraction form
    262.34/393.46 = 100.00/x
  3. Step 3: Cross multiply
    262.34x = 393.46 × 100.00
  4. Step 4: Simplify right side
    262.34x = 39,346.24
  5. Step 5: Solve for x
    x = 39,346.24/262.34
  6. Step 6: Final answer
    x = 149.98

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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.