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Finding the Fourth Proportional to 204.87, 307.28 and 123.65

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Solution

The fourth proportional to 204.87, 307.28 and 123.65 is: 185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.87 : 307.28 = 123.65 : x
  2. Step 2: Convert to fraction form
    204.87/307.28 = 123.65/x
  3. Step 3: Cross multiply
    204.87x = 307.28 × 123.65
  4. Step 4: Simplify right side
    204.87x = 37,995.17
  5. Step 5: Solve for x
    x = 37,995.17/204.87
  6. Step 6: Final answer
    x = 185.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.