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Finding the Fourth Proportional to 338.19, 507.29 and 121.79

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Solution

The fourth proportional to 338.19, 507.29 and 121.79 is: 182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.19 : 507.29 = 121.79 : x
  2. Step 2: Convert to fraction form
    338.19/507.29 = 121.79/x
  3. Step 3: Cross multiply
    338.19x = 507.29 × 121.79
  4. Step 4: Simplify right side
    338.19x = 61,779.70
  5. Step 5: Solve for x
    x = 61,779.70/338.19
  6. Step 6: Final answer
    x = 182.68

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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.