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Finding the Fourth Proportional to 222.50, 307.12 and 181.02

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Solution

The fourth proportional to 222.50, 307.12 and 181.02 is: 249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.50 : 307.12 = 181.02 : x
  2. Step 2: Convert to fraction form
    222.50/307.12 = 181.02/x
  3. Step 3: Cross multiply
    222.50x = 307.12 × 181.02
  4. Step 4: Simplify right side
    222.50x = 55,594.86
  5. Step 5: Solve for x
    x = 55,594.86/222.50
  6. Step 6: Final answer
    x = 249.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.