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Finding the Fourth Proportional to 153.57, 211.33 and 149.54

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Solution

The fourth proportional to 153.57, 211.33 and 149.54 is: 205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.57 : 211.33 = 149.54 : x
  2. Step 2: Convert to fraction form
    153.57/211.33 = 149.54/x
  3. Step 3: Cross multiply
    153.57x = 211.33 × 149.54
  4. Step 4: Simplify right side
    153.57x = 31,602.29
  5. Step 5: Solve for x
    x = 31,602.29/153.57
  6. Step 6: Final answer
    x = 205.78

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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.