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Finding the Fourth Proportional to 152.00, 227.07 and 127.70

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Solution

The fourth proportional to 152.00, 227.07 and 127.70 is: 190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.00 : 227.07 = 127.70 : x
  2. Step 2: Convert to fraction form
    152.00/227.07 = 127.70/x
  3. Step 3: Cross multiply
    152.00x = 227.07 × 127.70
  4. Step 4: Simplify right side
    152.00x = 28,995.70
  5. Step 5: Solve for x
    x = 28,995.70/152.00
  6. Step 6: Final answer
    x = 190.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.