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Finding the Fourth Proportional to 154.29, 213.01 and 137.88

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Solution

The fourth proportional to 154.29, 213.01 and 137.88 is: 190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.29 : 213.01 = 137.88 : x
  2. Step 2: Convert to fraction form
    154.29/213.01 = 137.88/x
  3. Step 3: Cross multiply
    154.29x = 213.01 × 137.88
  4. Step 4: Simplify right side
    154.29x = 29,369.82
  5. Step 5: Solve for x
    x = 29,369.82/154.29
  6. Step 6: Final answer
    x = 190.35

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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.