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Finding the Fourth Proportional to 338.24, 507.53 and 121.84

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Solution

The fourth proportional to 338.24, 507.53 and 121.84 is: 182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.24 : 507.53 = 121.84 : x
  2. Step 2: Convert to fraction form
    338.24/507.53 = 121.84/x
  3. Step 3: Cross multiply
    338.24x = 507.53 × 121.84
  4. Step 4: Simplify right side
    338.24x = 61,837.46
  5. Step 5: Solve for x
    x = 61,837.46/338.24
  6. Step 6: Final answer
    x = 182.82

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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.