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Finding the Fourth Proportional to 359.65, 539.63 and 197.31

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Solution

The fourth proportional to 359.65, 539.63 and 197.31 is: 296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.65 : 539.63 = 197.31 : x
  2. Step 2: Convert to fraction form
    359.65/539.63 = 197.31/x
  3. Step 3: Cross multiply
    359.65x = 539.63 × 197.31
  4. Step 4: Simplify right side
    359.65x = 106,476.17
  5. Step 5: Solve for x
    x = 106,476.17/359.65
  6. Step 6: Final answer
    x = 296.05

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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.