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Finding the Fourth Proportional to 338.02, 507.06 and 209.50

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Solution

The fourth proportional to 338.02, 507.06 and 209.50 is: 314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.02 : 507.06 = 209.50 : x
  2. Step 2: Convert to fraction form
    338.02/507.06 = 209.50/x
  3. Step 3: Cross multiply
    338.02x = 507.06 × 209.50
  4. Step 4: Simplify right side
    338.02x = 106,229.07
  5. Step 5: Solve for x
    x = 106,229.07/338.02
  6. Step 6: Final answer
    x = 314.27

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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.