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Finding the Fourth Proportional to 175.07, 261.93 and 120.80

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Solution

The fourth proportional to 175.07, 261.93 and 120.80 is: 180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.07 : 261.93 = 120.80 : x
  2. Step 2: Convert to fraction form
    175.07/261.93 = 120.80/x
  3. Step 3: Cross multiply
    175.07x = 261.93 × 120.80
  4. Step 4: Simplify right side
    175.07x = 31,641.14
  5. Step 5: Solve for x
    x = 31,641.14/175.07
  6. Step 6: Final answer
    x = 180.73

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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.