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Finding the Fourth Proportional to 338.13, 507.09 and 208.14

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Solution

The fourth proportional to 338.13, 507.09 and 208.14 is: 312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.13 : 507.09 = 208.14 : x
  2. Step 2: Convert to fraction form
    338.13/507.09 = 208.14/x
  3. Step 3: Cross multiply
    338.13x = 507.09 × 208.14
  4. Step 4: Simplify right side
    338.13x = 105,545.71
  5. Step 5: Solve for x
    x = 105,545.71/338.13
  6. Step 6: Final answer
    x = 312.15

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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.