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Finding the Fourth Proportional to 225.83, 309.93 and 219.76

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Solution

The fourth proportional to 225.83, 309.93 and 219.76 is: 301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.83 : 309.93 = 219.76 : x
  2. Step 2: Convert to fraction form
    225.83/309.93 = 219.76/x
  3. Step 3: Cross multiply
    225.83x = 309.93 × 219.76
  4. Step 4: Simplify right side
    225.83x = 68,110.22
  5. Step 5: Solve for x
    x = 68,110.22/225.83
  6. Step 6: Final answer
    x = 301.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.