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Finding the Fourth Proportional to 153.36, 231.07 and 136.78

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Solution

The fourth proportional to 153.36, 231.07 and 136.78 is: 206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.36 : 231.07 = 136.78 : x
  2. Step 2: Convert to fraction form
    153.36/231.07 = 136.78/x
  3. Step 3: Cross multiply
    153.36x = 231.07 × 136.78
  4. Step 4: Simplify right side
    153.36x = 31,604.19
  5. Step 5: Solve for x
    x = 31,604.19/153.36
  6. Step 6: Final answer
    x = 206.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.