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Finding the Fourth Proportional to 219.87, 303.80 and 146.43

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Solution

The fourth proportional to 219.87, 303.80 and 146.43 is: 202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.87 : 303.80 = 146.43 : x
  2. Step 2: Convert to fraction form
    219.87/303.80 = 146.43/x
  3. Step 3: Cross multiply
    219.87x = 303.80 × 146.43
  4. Step 4: Simplify right side
    219.87x = 44,484.70
  5. Step 5: Solve for x
    x = 44,484.70/219.87
  6. Step 6: Final answer
    x = 202.32

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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.