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Finding the Fourth Proportional to 152.12, 227.94 and 135.86

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Solution

The fourth proportional to 152.12, 227.94 and 135.86 is: 203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.12 : 227.94 = 135.86 : x
  2. Step 2: Convert to fraction form
    152.12/227.94 = 135.86/x
  3. Step 3: Cross multiply
    152.12x = 227.94 × 135.86
  4. Step 4: Simplify right side
    152.12x = 30,967.93
  5. Step 5: Solve for x
    x = 30,967.93/152.12
  6. Step 6: Final answer
    x = 203.58

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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.