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Finding the Fourth Proportional to 222.17, 306.50 and 156.71

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Solution

The fourth proportional to 222.17, 306.50 and 156.71 is: 216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.17 : 306.50 = 156.71 : x
  2. Step 2: Convert to fraction form
    222.17/306.50 = 156.71/x
  3. Step 3: Cross multiply
    222.17x = 306.50 × 156.71
  4. Step 4: Simplify right side
    222.17x = 48,031.62
  5. Step 5: Solve for x
    x = 48,031.62/222.17
  6. Step 6: Final answer
    x = 216.19

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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.