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Finding the Fourth Proportional to 359.20, 495.36 and 211.84

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Solution

The fourth proportional to 359.20, 495.36 and 211.84 is: 292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.20 : 495.36 = 211.84 : x
  2. Step 2: Convert to fraction form
    359.20/495.36 = 211.84/x
  3. Step 3: Cross multiply
    359.20x = 495.36 × 211.84
  4. Step 4: Simplify right side
    359.20x = 104,937.06
  5. Step 5: Solve for x
    x = 104,937.06/359.20
  6. Step 6: Final answer
    x = 292.14

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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.