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Finding the Fourth Proportional to 338.93, 508.41 and 144.02

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Solution

The fourth proportional to 338.93, 508.41 and 144.02 is: 216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.93 : 508.41 = 144.02 : x
  2. Step 2: Convert to fraction form
    338.93/508.41 = 144.02/x
  3. Step 3: Cross multiply
    338.93x = 508.41 × 144.02
  4. Step 4: Simplify right side
    338.93x = 73,221.21
  5. Step 5: Solve for x
    x = 73,221.21/338.93
  6. Step 6: Final answer
    x = 216.04

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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.