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Finding the Fourth Proportional to 152.32, 226.94 and 150.80

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Solution

The fourth proportional to 152.32, 226.94 and 150.80 is: 224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.32 : 226.94 = 150.80 : x
  2. Step 2: Convert to fraction form
    152.32/226.94 = 150.80/x
  3. Step 3: Cross multiply
    152.32x = 226.94 × 150.80
  4. Step 4: Simplify right side
    152.32x = 34,222.55
  5. Step 5: Solve for x
    x = 34,222.55/152.32
  6. Step 6: Final answer
    x = 224.68

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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.