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Finding the Fourth Proportional to 338.53, 507.90 and 122.14

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Solution

The fourth proportional to 338.53, 507.90 and 122.14 is: 183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.53 : 507.90 = 122.14 : x
  2. Step 2: Convert to fraction form
    338.53/507.90 = 122.14/x
  3. Step 3: Cross multiply
    338.53x = 507.90 × 122.14
  4. Step 4: Simplify right side
    338.53x = 62,034.91
  5. Step 5: Solve for x
    x = 62,034.91/338.53
  6. Step 6: Final answer
    x = 183.25

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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.