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Finding the Fourth Proportional to 175.40, 262.62 and 106.82

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Solution

The fourth proportional to 175.40, 262.62 and 106.82 is: 159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.40 : 262.62 = 106.82 : x
  2. Step 2: Convert to fraction form
    175.40/262.62 = 106.82/x
  3. Step 3: Cross multiply
    175.40x = 262.62 × 106.82
  4. Step 4: Simplify right side
    175.40x = 28,053.07
  5. Step 5: Solve for x
    x = 28,053.07/175.40
  6. Step 6: Final answer
    x = 159.94

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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.