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Finding the Fourth Proportional to 219.12, 302.46 and 149.54

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Solution

The fourth proportional to 219.12, 302.46 and 149.54 is: 206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.12 : 302.46 = 149.54 : x
  2. Step 2: Convert to fraction form
    219.12/302.46 = 149.54/x
  3. Step 3: Cross multiply
    219.12x = 302.46 × 149.54
  4. Step 4: Simplify right side
    219.12x = 45,228.36
  5. Step 5: Solve for x
    x = 45,228.36/219.12
  6. Step 6: Final answer
    x = 206.41

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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.