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Finding the Fourth Proportional to 222.47, 306.94 and 148.80

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Solution

The fourth proportional to 222.47, 306.94 and 148.80 is: 205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.47 : 306.94 = 148.80 : x
  2. Step 2: Convert to fraction form
    222.47/306.94 = 148.80/x
  3. Step 3: Cross multiply
    222.47x = 306.94 × 148.80
  4. Step 4: Simplify right side
    222.47x = 45,672.67
  5. Step 5: Solve for x
    x = 45,672.67/222.47
  6. Step 6: Final answer
    x = 205.30

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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.