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Finding the Fourth Proportional to 359.24, 495.82 and 211.98

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Solution

The fourth proportional to 359.24, 495.82 and 211.98 is: 292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.24 : 495.82 = 211.98 : x
  2. Step 2: Convert to fraction form
    359.24/495.82 = 211.98/x
  3. Step 3: Cross multiply
    359.24x = 495.82 × 211.98
  4. Step 4: Simplify right side
    359.24x = 105,103.92
  5. Step 5: Solve for x
    x = 105,103.92/359.24
  6. Step 6: Final answer
    x = 292.57

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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.