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Finding the Fourth Proportional to 175.80, 262.02 and 166.07

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Solution

The fourth proportional to 175.80, 262.02 and 166.07 is: 247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.80 : 262.02 = 166.07 : x
  2. Step 2: Convert to fraction form
    175.80/262.02 = 166.07/x
  3. Step 3: Cross multiply
    175.80x = 262.02 × 166.07
  4. Step 4: Simplify right side
    175.80x = 43,513.66
  5. Step 5: Solve for x
    x = 43,513.66/175.80
  6. Step 6: Final answer
    x = 247.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.