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Finding the Fourth Proportional to 262.64, 393.72 and 106.46

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Solution

The fourth proportional to 262.64, 393.72 and 106.46 is: 159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 393.72 = 106.46 : x
  2. Step 2: Convert to fraction form
    262.64/393.72 = 106.46/x
  3. Step 3: Cross multiply
    262.64x = 393.72 × 106.46
  4. Step 4: Simplify right side
    262.64x = 41,915.43
  5. Step 5: Solve for x
    x = 41,915.43/262.64
  6. Step 6: Final answer
    x = 159.59

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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.