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Finding the Fourth Proportional to 154.18, 211.62 and 137.44

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Solution

The fourth proportional to 154.18, 211.62 and 137.44 is: 188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.18 : 211.62 = 137.44 : x
  2. Step 2: Convert to fraction form
    154.18/211.62 = 137.44/x
  3. Step 3: Cross multiply
    154.18x = 211.62 × 137.44
  4. Step 4: Simplify right side
    154.18x = 29,085.05
  5. Step 5: Solve for x
    x = 29,085.05/154.18
  6. Step 6: Final answer
    x = 188.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.