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Finding the Fourth Proportional to 365.09, 503.81 and 199.30

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Solution

The fourth proportional to 365.09, 503.81 and 199.30 is: 275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.09 : 503.81 = 199.30 : x
  2. Step 2: Convert to fraction form
    365.09/503.81 = 199.30/x
  3. Step 3: Cross multiply
    365.09x = 503.81 × 199.30
  4. Step 4: Simplify right side
    365.09x = 100,411.81
  5. Step 5: Solve for x
    x = 100,411.81/365.09
  6. Step 6: Final answer
    x = 275.03

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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.