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Finding the Fourth Proportional to 148.18, 203.96 and 137.04

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Solution

The fourth proportional to 148.18, 203.96 and 137.04 is: 188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.18 : 203.96 = 137.04 : x
  2. Step 2: Convert to fraction form
    148.18/203.96 = 137.04/x
  3. Step 3: Cross multiply
    148.18x = 203.96 × 137.04
  4. Step 4: Simplify right side
    148.18x = 27,950.68
  5. Step 5: Solve for x
    x = 27,950.68/148.18
  6. Step 6: Final answer
    x = 188.63

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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.