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Finding the Fourth Proportional to 194.08, 266.12 and 183.16

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Solution

The fourth proportional to 194.08, 266.12 and 183.16 is: 251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.08 : 266.12 = 183.16 : x
  2. Step 2: Convert to fraction form
    194.08/266.12 = 183.16/x
  3. Step 3: Cross multiply
    194.08x = 266.12 × 183.16
  4. Step 4: Simplify right side
    194.08x = 48,742.54
  5. Step 5: Solve for x
    x = 48,742.54/194.08
  6. Step 6: Final answer
    x = 251.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.