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Finding the Fourth Proportional to 200.77, 301.43 and 146.64

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Solution

The fourth proportional to 200.77, 301.43 and 146.64 is: 220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.77 : 301.43 = 146.64 : x
  2. Step 2: Convert to fraction form
    200.77/301.43 = 146.64/x
  3. Step 3: Cross multiply
    200.77x = 301.43 × 146.64
  4. Step 4: Simplify right side
    200.77x = 44,201.70
  5. Step 5: Solve for x
    x = 44,201.70/200.77
  6. Step 6: Final answer
    x = 220.16

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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.