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Finding the Fourth Proportional to 338.84, 508.05 and 133.16

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Solution

The fourth proportional to 338.84, 508.05 and 133.16 is: 199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.84 : 508.05 = 133.16 : x
  2. Step 2: Convert to fraction form
    338.84/508.05 = 133.16/x
  3. Step 3: Cross multiply
    338.84x = 508.05 × 133.16
  4. Step 4: Simplify right side
    338.84x = 67,651.94
  5. Step 5: Solve for x
    x = 67,651.94/338.84
  6. Step 6: Final answer
    x = 199.66

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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.