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Finding the Fourth Proportional to 187.62, 258.72 and 137.60

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Solution

The fourth proportional to 187.62, 258.72 and 137.60 is: 189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.62 : 258.72 = 137.60 : x
  2. Step 2: Convert to fraction form
    187.62/258.72 = 137.60/x
  3. Step 3: Cross multiply
    187.62x = 258.72 × 137.60
  4. Step 4: Simplify right side
    187.62x = 35,599.87
  5. Step 5: Solve for x
    x = 35,599.87/187.62
  6. Step 6: Final answer
    x = 189.74

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Why These Related Problems?

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