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Finding the Fourth Proportional to 200.96, 301.46 and 64

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Solution

The fourth proportional to 200.96, 301.46 and 64 is: 96.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.96 : 301.46 = 64 : x
  2. Step 2: Convert to fraction form
    200.96/301.46 = 64/x
  3. Step 3: Cross multiply
    200.96x = 301.46 × 64
  4. Step 4: Simplify right side
    200.96x = 19,293.12
  5. Step 5: Solve for x
    x = 19,293.12/200.96
  6. Step 6: Final answer
    x = 96.00

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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.