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Finding the Fourth Proportional to 222.46, 306.94 and 151.58

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Solution

The fourth proportional to 222.46, 306.94 and 151.58 is: 209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.46 : 306.94 = 151.58 : x
  2. Step 2: Convert to fraction form
    222.46/306.94 = 151.58/x
  3. Step 3: Cross multiply
    222.46x = 306.94 × 151.58
  4. Step 4: Simplify right side
    222.46x = 46,526.35
  5. Step 5: Solve for x
    x = 46,526.35/222.46
  6. Step 6: Final answer
    x = 209.15

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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.