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Finding the Fourth Proportional to 219.76, 303.52 and 149.70

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Solution

The fourth proportional to 219.76, 303.52 and 149.70 is: 206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.76 : 303.52 = 149.70 : x
  2. Step 2: Convert to fraction form
    219.76/303.52 = 149.70/x
  3. Step 3: Cross multiply
    219.76x = 303.52 × 149.70
  4. Step 4: Simplify right side
    219.76x = 45,436.64
  5. Step 5: Solve for x
    x = 45,436.64/219.76
  6. Step 6: Final answer
    x = 206.75

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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.