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Finding the Fourth Proportional to 205.40, 307.96 and 164.81

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Solution

The fourth proportional to 205.40, 307.96 and 164.81 is: 247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.40 : 307.96 = 164.81 : x
  2. Step 2: Convert to fraction form
    205.40/307.96 = 164.81/x
  3. Step 3: Cross multiply
    205.40x = 307.96 × 164.81
  4. Step 4: Simplify right side
    205.40x = 50,754.06
  5. Step 5: Solve for x
    x = 50,754.06/205.40
  6. Step 6: Final answer
    x = 247.10

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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.