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Finding the Fourth Proportional to 226.16, 311.60 and 152.24

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Solution

The fourth proportional to 226.16, 311.60 and 152.24 is: 209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.16 : 311.60 = 152.24 : x
  2. Step 2: Convert to fraction form
    226.16/311.60 = 152.24/x
  3. Step 3: Cross multiply
    226.16x = 311.60 × 152.24
  4. Step 4: Simplify right side
    226.16x = 47,437.98
  5. Step 5: Solve for x
    x = 47,437.98/226.16
  6. Step 6: Final answer
    x = 209.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.