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Finding the Fourth Proportional to 369.38, 509.81 and 214.22

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Solution

The fourth proportional to 369.38, 509.81 and 214.22 is: 295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.38 : 509.81 = 214.22 : x
  2. Step 2: Convert to fraction form
    369.38/509.81 = 214.22/x
  3. Step 3: Cross multiply
    369.38x = 509.81 × 214.22
  4. Step 4: Simplify right side
    369.38x = 109,207.88
  5. Step 5: Solve for x
    x = 109,207.88/369.38
  6. Step 6: Final answer
    x = 295.66

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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.