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Finding the Fourth Proportional to 152.34, 227.95 and 133.97

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Solution

The fourth proportional to 152.34, 227.95 and 133.97 is: 200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.34 : 227.95 = 133.97 : x
  2. Step 2: Convert to fraction form
    152.34/227.95 = 133.97/x
  3. Step 3: Cross multiply
    152.34x = 227.95 × 133.97
  4. Step 4: Simplify right side
    152.34x = 30,539.03
  5. Step 5: Solve for x
    x = 30,539.03/152.34
  6. Step 6: Final answer
    x = 200.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.