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Finding the Fourth Proportional to 338.20, 507.42 and 145.96

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Solution

The fourth proportional to 338.20, 507.42 and 145.96 is: 218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.20 : 507.42 = 145.96 : x
  2. Step 2: Convert to fraction form
    338.20/507.42 = 145.96/x
  3. Step 3: Cross multiply
    338.20x = 507.42 × 145.96
  4. Step 4: Simplify right side
    338.20x = 74,063.02
  5. Step 5: Solve for x
    x = 74,063.02/338.20
  6. Step 6: Final answer
    x = 218.99

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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.