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Finding the Fourth Proportional to 200.00, 301.25 and 159.71

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Solution

The fourth proportional to 200.00, 301.25 and 159.71 is: 240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.00 : 301.25 = 159.71 : x
  2. Step 2: Convert to fraction form
    200.00/301.25 = 159.71/x
  3. Step 3: Cross multiply
    200.00x = 301.25 × 159.71
  4. Step 4: Simplify right side
    200.00x = 48,111.53
  5. Step 5: Solve for x
    x = 48,111.53/200.00
  6. Step 6: Final answer
    x = 240.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.