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Finding the Fourth Proportional to 369.49, 509.83 and 220.16

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Solution

The fourth proportional to 369.49, 509.83 and 220.16 is: 303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.49 : 509.83 = 220.16 : x
  2. Step 2: Convert to fraction form
    369.49/509.83 = 220.16/x
  3. Step 3: Cross multiply
    369.49x = 509.83 × 220.16
  4. Step 4: Simplify right side
    369.49x = 112,244.17
  5. Step 5: Solve for x
    x = 112,244.17/369.49
  6. Step 6: Final answer
    x = 303.78

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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.