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Finding the Fourth Proportional to 175.16, 262.39 and 106.46

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Solution

The fourth proportional to 175.16, 262.39 and 106.46 is: 159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.16 : 262.39 = 106.46 : x
  2. Step 2: Convert to fraction form
    175.16/262.39 = 106.46/x
  3. Step 3: Cross multiply
    175.16x = 262.39 × 106.46
  4. Step 4: Simplify right side
    175.16x = 27,935.12
  5. Step 5: Solve for x
    x = 27,935.12/175.16
  6. Step 6: Final answer
    x = 159.48

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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.