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Finding the Fourth Proportional to 222.02, 306.47 and 148.31

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Solution

The fourth proportional to 222.02, 306.47 and 148.31 is: 204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.02 : 306.47 = 148.31 : x
  2. Step 2: Convert to fraction form
    222.02/306.47 = 148.31/x
  3. Step 3: Cross multiply
    222.02x = 306.47 × 148.31
  4. Step 4: Simplify right side
    222.02x = 45,452.55
  5. Step 5: Solve for x
    x = 45,452.55/222.02
  6. Step 6: Final answer
    x = 204.72

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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.