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Finding the Fourth Proportional to 219.75, 302.99 and 146.03

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Solution

The fourth proportional to 219.75, 302.99 and 146.03 is: 201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.75 : 302.99 = 146.03 : x
  2. Step 2: Convert to fraction form
    219.75/302.99 = 146.03/x
  3. Step 3: Cross multiply
    219.75x = 302.99 × 146.03
  4. Step 4: Simplify right side
    219.75x = 44,243.38
  5. Step 5: Solve for x
    x = 44,243.38/219.75
  6. Step 6: Final answer
    x = 201.34

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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.