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Finding the Fourth Proportional to 225.69, 311.46 and 142.76

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Solution

The fourth proportional to 225.69, 311.46 and 142.76 is: 197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.69 : 311.46 = 142.76 : x
  2. Step 2: Convert to fraction form
    225.69/311.46 = 142.76/x
  3. Step 3: Cross multiply
    225.69x = 311.46 × 142.76
  4. Step 4: Simplify right side
    225.69x = 44,465.08
  5. Step 5: Solve for x
    x = 44,465.08/225.69
  6. Step 6: Final answer
    x = 197.02

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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.