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Finding the Fourth Proportional to 338.41, 507.63 and 121.93

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Solution

The fourth proportional to 338.41, 507.63 and 121.93 is: 182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.41 : 507.63 = 121.93 : x
  2. Step 2: Convert to fraction form
    338.41/507.63 = 121.93/x
  3. Step 3: Cross multiply
    338.41x = 507.63 × 121.93
  4. Step 4: Simplify right side
    338.41x = 61,895.33
  5. Step 5: Solve for x
    x = 61,895.33/338.41
  6. Step 6: Final answer
    x = 182.90

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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.