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Finding the Fourth Proportional to 338.27, 507.20 and 164.93

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Solution

The fourth proportional to 338.27, 507.20 and 164.93 is: 247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.27 : 507.20 = 164.93 : x
  2. Step 2: Convert to fraction form
    338.27/507.20 = 164.93/x
  3. Step 3: Cross multiply
    338.27x = 507.20 × 164.93
  4. Step 4: Simplify right side
    338.27x = 83,649.14
  5. Step 5: Solve for x
    x = 83,649.14/338.27
  6. Step 6: Final answer
    x = 247.29

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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.