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Finding the Fourth Proportional to 369.16, 509.52 and 221.80

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Solution

The fourth proportional to 369.16, 509.52 and 221.80 is: 306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.16 : 509.52 = 221.80 : x
  2. Step 2: Convert to fraction form
    369.16/509.52 = 221.80/x
  3. Step 3: Cross multiply
    369.16x = 509.52 × 221.80
  4. Step 4: Simplify right side
    369.16x = 113,011.54
  5. Step 5: Solve for x
    x = 113,011.54/369.16
  6. Step 6: Final answer
    x = 306.13

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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.