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Finding the Fourth Proportional to 183.48, 253.20 and 104.82

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Solution

The fourth proportional to 183.48, 253.20 and 104.82 is: 144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.48 : 253.20 = 104.82 : x
  2. Step 2: Convert to fraction form
    183.48/253.20 = 104.82/x
  3. Step 3: Cross multiply
    183.48x = 253.20 × 104.82
  4. Step 4: Simplify right side
    183.48x = 26,540.42
  5. Step 5: Solve for x
    x = 26,540.42/183.48
  6. Step 6: Final answer
    x = 144.65

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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.