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Finding the Fourth Proportional to 152.08, 226.82 and 148.24

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Solution

The fourth proportional to 152.08, 226.82 and 148.24 is: 221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.08 : 226.82 = 148.24 : x
  2. Step 2: Convert to fraction form
    152.08/226.82 = 148.24/x
  3. Step 3: Cross multiply
    152.08x = 226.82 × 148.24
  4. Step 4: Simplify right side
    152.08x = 33,623.80
  5. Step 5: Solve for x
    x = 33,623.80/152.08
  6. Step 6: Final answer
    x = 221.09

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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.