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Finding the Fourth Proportional to 200.89, 301.34 and 146.21

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Solution

The fourth proportional to 200.89, 301.34 and 146.21 is: 219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.89 : 301.34 = 146.21 : x
  2. Step 2: Convert to fraction form
    200.89/301.34 = 146.21/x
  3. Step 3: Cross multiply
    200.89x = 301.34 × 146.21
  4. Step 4: Simplify right side
    200.89x = 44,058.19
  5. Step 5: Solve for x
    x = 44,058.19/200.89
  6. Step 6: Final answer
    x = 219.32

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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.