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Finding the Fourth Proportional to 175.82, 263.84 and 118.01

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Solution

The fourth proportional to 175.82, 263.84 and 118.01 is: 177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.82 : 263.84 = 118.01 : x
  2. Step 2: Convert to fraction form
    175.82/263.84 = 118.01/x
  3. Step 3: Cross multiply
    175.82x = 263.84 × 118.01
  4. Step 4: Simplify right side
    175.82x = 31,135.83
  5. Step 5: Solve for x
    x = 31,135.83/175.82
  6. Step 6: Final answer
    x = 177.09

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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.