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Finding the Fourth Proportional to 153.30, 211.55 and 142.13

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Solution

The fourth proportional to 153.30, 211.55 and 142.13 is: 196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.30 : 211.55 = 142.13 : x
  2. Step 2: Convert to fraction form
    153.30/211.55 = 142.13/x
  3. Step 3: Cross multiply
    153.30x = 211.55 × 142.13
  4. Step 4: Simplify right side
    153.30x = 30,067.42
  5. Step 5: Solve for x
    x = 30,067.42/153.30
  6. Step 6: Final answer
    x = 196.13

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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.