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Finding the Fourth Proportional to 148.51, 203.81 and 134.65

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Solution

The fourth proportional to 148.51, 203.81 and 134.65 is: 184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.51 : 203.81 = 134.65 : x
  2. Step 2: Convert to fraction form
    148.51/203.81 = 134.65/x
  3. Step 3: Cross multiply
    148.51x = 203.81 × 134.65
  4. Step 4: Simplify right side
    148.51x = 27,443.02
  5. Step 5: Solve for x
    x = 27,443.02/148.51
  6. Step 6: Final answer
    x = 184.79

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Why These Related Problems?

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