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Finding the Fourth Proportional to 226.02, 311.70 and 151.50

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Solution

The fourth proportional to 226.02, 311.70 and 151.50 is: 208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.02 : 311.70 = 151.50 : x
  2. Step 2: Convert to fraction form
    226.02/311.70 = 151.50/x
  3. Step 3: Cross multiply
    226.02x = 311.70 × 151.50
  4. Step 4: Simplify right side
    226.02x = 47,223.43
  5. Step 5: Solve for x
    x = 47,223.43/226.02
  6. Step 6: Final answer
    x = 208.93

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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.