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Finding the Fourth Proportional to 183.50, 253.25 and 104.82

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Solution

The fourth proportional to 183.50, 253.25 and 104.82 is: 144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.50 : 253.25 = 104.82 : x
  2. Step 2: Convert to fraction form
    183.50/253.25 = 104.82/x
  3. Step 3: Cross multiply
    183.50x = 253.25 × 104.82
  4. Step 4: Simplify right side
    183.50x = 26,545.67
  5. Step 5: Solve for x
    x = 26,545.67/183.50
  6. Step 6: Final answer
    x = 144.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.