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Finding the Fourth Proportional to 225.84, 311.52 and 142.80

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Solution

The fourth proportional to 225.84, 311.52 and 142.80 is: 196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 311.52 = 142.80 : x
  2. Step 2: Convert to fraction form
    225.84/311.52 = 142.80/x
  3. Step 3: Cross multiply
    225.84x = 311.52 × 142.80
  4. Step 4: Simplify right side
    225.84x = 44,485.06
  5. Step 5: Solve for x
    x = 44,485.06/225.84
  6. Step 6: Final answer
    x = 196.98

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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.