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Finding the Fourth Proportional to 219.66, 302.82 and 149.70

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Solution

The fourth proportional to 219.66, 302.82 and 149.70 is: 206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.66 : 302.82 = 149.70 : x
  2. Step 2: Convert to fraction form
    219.66/302.82 = 149.70/x
  3. Step 3: Cross multiply
    219.66x = 302.82 × 149.70
  4. Step 4: Simplify right side
    219.66x = 45,332.15
  5. Step 5: Solve for x
    x = 45,332.15/219.66
  6. Step 6: Final answer
    x = 206.37

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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.