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Finding the Fourth Proportional to 365.78, 504.79 and 199.99

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Solution

The fourth proportional to 365.78, 504.79 and 199.99 is: 276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.78 : 504.79 = 199.99 : x
  2. Step 2: Convert to fraction form
    365.78/504.79 = 199.99/x
  3. Step 3: Cross multiply
    365.78x = 504.79 × 199.99
  4. Step 4: Simplify right side
    365.78x = 100,955.91
  5. Step 5: Solve for x
    x = 100,955.91/365.78
  6. Step 6: Final answer
    x = 276.00

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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.