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Finding the Fourth Proportional to 200.36, 300 and 164.72

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Solution

The fourth proportional to 200.36, 300 and 164.72 is: 246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.36 : 300 = 164.72 : x
  2. Step 2: Convert to fraction form
    200.36/300 = 164.72/x
  3. Step 3: Cross multiply
    200.36x = 300 × 164.72
  4. Step 4: Simplify right side
    200.36x = 49,416
  5. Step 5: Solve for x
    x = 49,416/200.36
  6. Step 6: Final answer
    x = 246.64

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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.