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Finding the Fourth Proportional to 369.16, 509.25 and 213.82

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Solution

The fourth proportional to 369.16, 509.25 and 213.82 is: 294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.16 : 509.25 = 213.82 : x
  2. Step 2: Convert to fraction form
    369.16/509.25 = 213.82/x
  3. Step 3: Cross multiply
    369.16x = 509.25 × 213.82
  4. Step 4: Simplify right side
    369.16x = 108,887.84
  5. Step 5: Solve for x
    x = 108,887.84/369.16
  6. Step 6: Final answer
    x = 294.96

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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.