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Finding the Fourth Proportional to 152.84, 227.41 and 152.28

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Solution

The fourth proportional to 152.84, 227.41 and 152.28 is: 226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.84 : 227.41 = 152.28 : x
  2. Step 2: Convert to fraction form
    152.84/227.41 = 152.28/x
  3. Step 3: Cross multiply
    152.84x = 227.41 × 152.28
  4. Step 4: Simplify right side
    152.84x = 34,629.99
  5. Step 5: Solve for x
    x = 34,629.99/152.84
  6. Step 6: Final answer
    x = 226.58

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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.