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Finding the Fourth Proportional to 245.41, 338.69 and 171.83

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Solution

The fourth proportional to 245.41, 338.69 and 171.83 is: 237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.41 : 338.69 = 171.83 : x
  2. Step 2: Convert to fraction form
    245.41/338.69 = 171.83/x
  3. Step 3: Cross multiply
    245.41x = 338.69 × 171.83
  4. Step 4: Simplify right side
    245.41x = 58,197.10
  5. Step 5: Solve for x
    x = 58,197.10/245.41
  6. Step 6: Final answer
    x = 237.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.