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Finding the Fourth Proportional to 222.68, 306.73 and 187.67

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Solution

The fourth proportional to 222.68, 306.73 and 187.67 is: 258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.68 : 306.73 = 187.67 : x
  2. Step 2: Convert to fraction form
    222.68/306.73 = 187.67/x
  3. Step 3: Cross multiply
    222.68x = 306.73 × 187.67
  4. Step 4: Simplify right side
    222.68x = 57,564.02
  5. Step 5: Solve for x
    x = 57,564.02/222.68
  6. Step 6: Final answer
    x = 258.51

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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.