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Finding the Fourth Proportional to 148.44, 204.47 and 134.68

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Solution

The fourth proportional to 148.44, 204.47 and 134.68 is: 185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.44 : 204.47 = 134.68 : x
  2. Step 2: Convert to fraction form
    148.44/204.47 = 134.68/x
  3. Step 3: Cross multiply
    148.44x = 204.47 × 134.68
  4. Step 4: Simplify right side
    148.44x = 27,538.02
  5. Step 5: Solve for x
    x = 27,538.02/148.44
  6. Step 6: Final answer
    x = 185.52

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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.