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Finding the Fourth Proportional to 338.53, 507.80 and 122.11

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Solution

The fourth proportional to 338.53, 507.80 and 122.11 is: 183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.53 : 507.80 = 122.11 : x
  2. Step 2: Convert to fraction form
    338.53/507.80 = 122.11/x
  3. Step 3: Cross multiply
    338.53x = 507.80 × 122.11
  4. Step 4: Simplify right side
    338.53x = 62,007.46
  5. Step 5: Solve for x
    x = 62,007.46/338.53
  6. Step 6: Final answer
    x = 183.17

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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.