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Finding the Fourth Proportional to 175.82, 263.78 and 73.07

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Solution

The fourth proportional to 175.82, 263.78 and 73.07 is: 109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.82 : 263.78 = 73.07 : x
  2. Step 2: Convert to fraction form
    175.82/263.78 = 73.07/x
  3. Step 3: Cross multiply
    175.82x = 263.78 × 73.07
  4. Step 4: Simplify right side
    175.82x = 19,274.40
  5. Step 5: Solve for x
    x = 19,274.40/175.82
  6. Step 6: Final answer
    x = 109.63

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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.