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Finding the Fourth Proportional to 248.15, 342.41 and 137.60

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Solution

The fourth proportional to 248.15, 342.41 and 137.60 is: 189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.15 : 342.41 = 137.60 : x
  2. Step 2: Convert to fraction form
    248.15/342.41 = 137.60/x
  3. Step 3: Cross multiply
    248.15x = 342.41 × 137.60
  4. Step 4: Simplify right side
    248.15x = 47,114.72
  5. Step 5: Solve for x
    x = 47,114.72/248.15
  6. Step 6: Final answer
    x = 189.87

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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.