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Finding the Fourth Proportional to 183.78, 253.62 and 106.18

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Solution

The fourth proportional to 183.78, 253.62 and 106.18 is: 146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.78 : 253.62 = 106.18 : x
  2. Step 2: Convert to fraction form
    183.78/253.62 = 106.18/x
  3. Step 3: Cross multiply
    183.78x = 253.62 × 106.18
  4. Step 4: Simplify right side
    183.78x = 26,929.37
  5. Step 5: Solve for x
    x = 26,929.37/183.78
  6. Step 6: Final answer
    x = 146.53

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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.