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Finding the Fourth Proportional to 338.19, 506.89 and 153.05

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Solution

The fourth proportional to 338.19, 506.89 and 153.05 is: 229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.19 : 506.89 = 153.05 : x
  2. Step 2: Convert to fraction form
    338.19/506.89 = 153.05/x
  3. Step 3: Cross multiply
    338.19x = 506.89 × 153.05
  4. Step 4: Simplify right side
    338.19x = 77,580.40
  5. Step 5: Solve for x
    x = 77,580.40/338.19
  6. Step 6: Final answer
    x = 229.40

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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.