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Finding the Fourth Proportional to 220.52, 303.81 and 181.64

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Solution

The fourth proportional to 220.52, 303.81 and 181.64 is: 250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.52 : 303.81 = 181.64 : x
  2. Step 2: Convert to fraction form
    220.52/303.81 = 181.64/x
  3. Step 3: Cross multiply
    220.52x = 303.81 × 181.64
  4. Step 4: Simplify right side
    220.52x = 55,184.05
  5. Step 5: Solve for x
    x = 55,184.05/220.52
  6. Step 6: Final answer
    x = 250.25

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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.