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Finding the Fourth Proportional to 152.24, 227.09 and 149.00

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Solution

The fourth proportional to 152.24, 227.09 and 149.00 is: 222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.24 : 227.09 = 149.00 : x
  2. Step 2: Convert to fraction form
    152.24/227.09 = 149.00/x
  3. Step 3: Cross multiply
    152.24x = 227.09 × 149.00
  4. Step 4: Simplify right side
    152.24x = 33,835.65
  5. Step 5: Solve for x
    x = 33,835.65/152.24
  6. Step 6: Final answer
    x = 222.26

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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.