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Finding the Fourth Proportional to 359.87, 538.38 and 197.66

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Solution

The fourth proportional to 359.87, 538.38 and 197.66 is: 295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.87 : 538.38 = 197.66 : x
  2. Step 2: Convert to fraction form
    359.87/538.38 = 197.66/x
  3. Step 3: Cross multiply
    359.87x = 538.38 × 197.66
  4. Step 4: Simplify right side
    359.87x = 106,417.54
  5. Step 5: Solve for x
    x = 106,417.54/359.87
  6. Step 6: Final answer
    x = 295.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.