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Finding the Fourth Proportional to 225, 309.56 and 200.39

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Solution

The fourth proportional to 225, 309.56 and 200.39 is: 275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225 : 309.56 = 200.39 : x
  2. Step 2: Convert to fraction form
    225/309.56 = 200.39/x
  3. Step 3: Cross multiply
    225x = 309.56 × 200.39
  4. Step 4: Simplify right side
    225x = 62,030.18
  5. Step 5: Solve for x
    x = 62,030.18/225
  6. Step 6: Final answer
    x = 275.69

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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.