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Finding the Fourth Proportional to 183.22, 274.78 and 106.10

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Solution

The fourth proportional to 183.22, 274.78 and 106.10 is: 159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.22 : 274.78 = 106.10 : x
  2. Step 2: Convert to fraction form
    183.22/274.78 = 106.10/x
  3. Step 3: Cross multiply
    183.22x = 274.78 × 106.10
  4. Step 4: Simplify right side
    183.22x = 29,154.16
  5. Step 5: Solve for x
    x = 29,154.16/183.22
  6. Step 6: Final answer
    x = 159.12

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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.