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Finding the Fourth Proportional to 359.08, 495.37 and 211.66

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Solution

The fourth proportional to 359.08, 495.37 and 211.66 is: 292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.08 : 495.37 = 211.66 : x
  2. Step 2: Convert to fraction form
    359.08/495.37 = 211.66/x
  3. Step 3: Cross multiply
    359.08x = 495.37 × 211.66
  4. Step 4: Simplify right side
    359.08x = 104,850.64
  5. Step 5: Solve for x
    x = 104,850.64/359.08
  6. Step 6: Final answer
    x = 292.00

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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.