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Finding the Fourth Proportional to 183.93, 275.82 and 97.26

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Solution

The fourth proportional to 183.93, 275.82 and 97.26 is: 145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.93 : 275.82 = 97.26 : x
  2. Step 2: Convert to fraction form
    183.93/275.82 = 97.26/x
  3. Step 3: Cross multiply
    183.93x = 275.82 × 97.26
  4. Step 4: Simplify right side
    183.93x = 26,826.25
  5. Step 5: Solve for x
    x = 26,826.25/183.93
  6. Step 6: Final answer
    x = 145.85

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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.