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Finding the Fourth Proportional to 338.04, 507.20 and 183.78

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Solution

The fourth proportional to 338.04, 507.20 and 183.78 is: 275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.04 : 507.20 = 183.78 : x
  2. Step 2: Convert to fraction form
    338.04/507.20 = 183.78/x
  3. Step 3: Cross multiply
    338.04x = 507.20 × 183.78
  4. Step 4: Simplify right side
    338.04x = 93,213.22
  5. Step 5: Solve for x
    x = 93,213.22/338.04
  6. Step 6: Final answer
    x = 275.75

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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.