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Finding the Fourth Proportional to 152.00, 227.70 and 94.01

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Solution

The fourth proportional to 152.00, 227.70 and 94.01 is: 140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.00 : 227.70 = 94.01 : x
  2. Step 2: Convert to fraction form
    152.00/227.70 = 94.01/x
  3. Step 3: Cross multiply
    152.00x = 227.70 × 94.01
  4. Step 4: Simplify right side
    152.00x = 21,404.94
  5. Step 5: Solve for x
    x = 21,404.94/152.00
  6. Step 6: Final answer
    x = 140.83

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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.