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Finding the Fourth Proportional to 200.31, 301.08 and 146.45

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Solution

The fourth proportional to 200.31, 301.08 and 146.45 is: 220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.31 : 301.08 = 146.45 : x
  2. Step 2: Convert to fraction form
    200.31/301.08 = 146.45/x
  3. Step 3: Cross multiply
    200.31x = 301.08 × 146.45
  4. Step 4: Simplify right side
    200.31x = 44,091.66
  5. Step 5: Solve for x
    x = 44,091.66/200.31
  6. Step 6: Final answer
    x = 220.12

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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.