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Finding the Fourth Proportional to 152.45, 227.45 and 136.00

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Solution

The fourth proportional to 152.45, 227.45 and 136.00 is: 202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.45 : 227.45 = 136.00 : x
  2. Step 2: Convert to fraction form
    152.45/227.45 = 136.00/x
  3. Step 3: Cross multiply
    152.45x = 227.45 × 136.00
  4. Step 4: Simplify right side
    152.45x = 30,933.82
  5. Step 5: Solve for x
    x = 30,933.82/152.45
  6. Step 6: Final answer
    x = 202.91

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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.