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Finding the Fourth Proportional to 200.52, 301.41 and 164.70

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Solution

The fourth proportional to 200.52, 301.41 and 164.70 is: 247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.52 : 301.41 = 164.70 : x
  2. Step 2: Convert to fraction form
    200.52/301.41 = 164.70/x
  3. Step 3: Cross multiply
    200.52x = 301.41 × 164.70
  4. Step 4: Simplify right side
    200.52x = 49,642.23
  5. Step 5: Solve for x
    x = 49,642.23/200.52
  6. Step 6: Final answer
    x = 247.57

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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.