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Finding the Fourth Proportional to 338.14, 507.59 and 201.30

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Solution

The fourth proportional to 338.14, 507.59 and 201.30 is: 302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.14 : 507.59 = 201.30 : x
  2. Step 2: Convert to fraction form
    338.14/507.59 = 201.30/x
  3. Step 3: Cross multiply
    338.14x = 507.59 × 201.30
  4. Step 4: Simplify right side
    338.14x = 102,177.87
  5. Step 5: Solve for x
    x = 102,177.87/338.14
  6. Step 6: Final answer
    x = 302.18

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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.