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Finding the Fourth Proportional to 222.12, 306.12 and 156.52

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Solution

The fourth proportional to 222.12, 306.12 and 156.52 is: 215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.12 : 306.12 = 156.52 : x
  2. Step 2: Convert to fraction form
    222.12/306.12 = 156.52/x
  3. Step 3: Cross multiply
    222.12x = 306.12 × 156.52
  4. Step 4: Simplify right side
    222.12x = 47,913.90
  5. Step 5: Solve for x
    x = 47,913.90/222.12
  6. Step 6: Final answer
    x = 215.71

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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.