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Finding the Fourth Proportional to 153.88, 211.74 and 149.33

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Solution

The fourth proportional to 153.88, 211.74 and 149.33 is: 205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.88 : 211.74 = 149.33 : x
  2. Step 2: Convert to fraction form
    153.88/211.74 = 149.33/x
  3. Step 3: Cross multiply
    153.88x = 211.74 × 149.33
  4. Step 4: Simplify right side
    153.88x = 31,619.13
  5. Step 5: Solve for x
    x = 31,619.13/153.88
  6. Step 6: Final answer
    x = 205.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.