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Finding the Fourth Proportional to 180.15, 248.70 and 137.81

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Solution

The fourth proportional to 180.15, 248.70 and 137.81 is: 190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.15 : 248.70 = 137.81 : x
  2. Step 2: Convert to fraction form
    180.15/248.70 = 137.81/x
  3. Step 3: Cross multiply
    180.15x = 248.70 × 137.81
  4. Step 4: Simplify right side
    180.15x = 34,272.10
  5. Step 5: Solve for x
    x = 34,272.10/180.15
  6. Step 6: Final answer
    x = 190.24

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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.