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Finding the Fourth Proportional to 152.00, 227.63 and 149.48

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Solution

The fourth proportional to 152.00, 227.63 and 149.48 is: 223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.00 : 227.63 = 149.48 : x
  2. Step 2: Convert to fraction form
    152.00/227.63 = 149.48/x
  3. Step 3: Cross multiply
    152.00x = 227.63 × 149.48
  4. Step 4: Simplify right side
    152.00x = 34,024.25
  5. Step 5: Solve for x
    x = 34,024.25/152.00
  6. Step 6: Final answer
    x = 223.85

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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.