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Finding the Fourth Proportional to 338.04, 505.80 and 201.12

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Solution

The fourth proportional to 338.04, 505.80 and 201.12 is: 300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.04 : 505.80 = 201.12 : x
  2. Step 2: Convert to fraction form
    338.04/505.80 = 201.12/x
  3. Step 3: Cross multiply
    338.04x = 505.80 × 201.12
  4. Step 4: Simplify right side
    338.04x = 101,726.50
  5. Step 5: Solve for x
    x = 101,726.50/338.04
  6. Step 6: Final answer
    x = 300.93

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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.