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Finding the Fourth Proportional to 225.84, 311.76 and 206.08

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Solution

The fourth proportional to 225.84, 311.76 and 206.08 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 311.76 = 206.08 : x
  2. Step 2: Convert to fraction form
    225.84/311.76 = 206.08/x
  3. Step 3: Cross multiply
    225.84x = 311.76 × 206.08
  4. Step 4: Simplify right side
    225.84x = 64,247.50
  5. Step 5: Solve for x
    x = 64,247.50/225.84
  6. Step 6: Final answer
    x = 284.48

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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.