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Finding the Fourth Proportional to 219.54, 302.97 and 149.58

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Solution

The fourth proportional to 219.54, 302.97 and 149.58 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.54 : 302.97 = 149.58 : x
  2. Step 2: Convert to fraction form
    219.54/302.97 = 149.58/x
  3. Step 3: Cross multiply
    219.54x = 302.97 × 149.58
  4. Step 4: Simplify right side
    219.54x = 45,318.81
  5. Step 5: Solve for x
    x = 45,318.81/219.54
  6. Step 6: Final answer
    x = 206.42

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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.