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Finding the Fourth Proportional to 153.56, 231.46 and 137.90

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Solution

The fourth proportional to 153.56, 231.46 and 137.90 is: 207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.56 : 231.46 = 137.90 : x
  2. Step 2: Convert to fraction form
    153.56/231.46 = 137.90/x
  3. Step 3: Cross multiply
    153.56x = 231.46 × 137.90
  4. Step 4: Simplify right side
    153.56x = 31,918.33
  5. Step 5: Solve for x
    x = 31,918.33/153.56
  6. Step 6: Final answer
    x = 207.86

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