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Finding the Fourth Proportional to 359.50, 496.14 and 212.14

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Solution

The fourth proportional to 359.50, 496.14 and 212.14 is: 292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.50 : 496.14 = 212.14 : x
  2. Step 2: Convert to fraction form
    359.50/496.14 = 212.14/x
  3. Step 3: Cross multiply
    359.50x = 496.14 × 212.14
  4. Step 4: Simplify right side
    359.50x = 105,251.14
  5. Step 5: Solve for x
    x = 105,251.14/359.50
  6. Step 6: Final answer
    x = 292.77

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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.