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Finding the Fourth Proportional to 338.22, 507.38 and 121.77

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Solution

The fourth proportional to 338.22, 507.38 and 121.77 is: 182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.22 : 507.38 = 121.77 : x
  2. Step 2: Convert to fraction form
    338.22/507.38 = 121.77/x
  3. Step 3: Cross multiply
    338.22x = 507.38 × 121.77
  4. Step 4: Simplify right side
    338.22x = 61,783.05
  5. Step 5: Solve for x
    x = 61,783.05/338.22
  6. Step 6: Final answer
    x = 182.67

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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.