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Finding the Fourth Proportional to 222.00, 306.20 and 148.19

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Solution

The fourth proportional to 222.00, 306.20 and 148.19 is: 204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.00 : 306.20 = 148.19 : x
  2. Step 2: Convert to fraction form
    222.00/306.20 = 148.19/x
  3. Step 3: Cross multiply
    222.00x = 306.20 × 148.19
  4. Step 4: Simplify right side
    222.00x = 45,373.78
  5. Step 5: Solve for x
    x = 45,373.78/222.00
  6. Step 6: Final answer
    x = 204.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.