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Finding the Fourth Proportional to 153.03, 211.16 and 149.09

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Solution

The fourth proportional to 153.03, 211.16 and 149.09 is: 205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.03 : 211.16 = 149.09 : x
  2. Step 2: Convert to fraction form
    153.03/211.16 = 149.09/x
  3. Step 3: Cross multiply
    153.03x = 211.16 × 149.09
  4. Step 4: Simplify right side
    153.03x = 31,480.04
  5. Step 5: Solve for x
    x = 31,480.04/153.03
  6. Step 6: Final answer
    x = 205.71

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