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Finding the Fourth Proportional to 219.98, 328.99 and 195.75

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Solution

The fourth proportional to 219.98, 328.99 and 195.75 is: 292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.98 : 328.99 = 195.75 : x
  2. Step 2: Convert to fraction form
    219.98/328.99 = 195.75/x
  3. Step 3: Cross multiply
    219.98x = 328.99 × 195.75
  4. Step 4: Simplify right side
    219.98x = 64,400.45
  5. Step 5: Solve for x
    x = 64,400.45/219.98
  6. Step 6: Final answer
    x = 292.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.