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Finding the Fourth Proportional to 338.60, 507.72 and 122.06

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Solution

The fourth proportional to 338.60, 507.72 and 122.06 is: 183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.60 : 507.72 = 122.06 : x
  2. Step 2: Convert to fraction form
    338.60/507.72 = 122.06/x
  3. Step 3: Cross multiply
    338.60x = 507.72 × 122.06
  4. Step 4: Simplify right side
    338.60x = 61,972.30
  5. Step 5: Solve for x
    x = 61,972.30/338.60
  6. Step 6: Final answer
    x = 183.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.