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Finding the Fourth Proportional to 359.84, 539.69 and 195.23

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Solution

The fourth proportional to 359.84, 539.69 and 195.23 is: 292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.84 : 539.69 = 195.23 : x
  2. Step 2: Convert to fraction form
    359.84/539.69 = 195.23/x
  3. Step 3: Cross multiply
    359.84x = 539.69 × 195.23
  4. Step 4: Simplify right side
    359.84x = 105,360.00
  5. Step 5: Solve for x
    x = 105,360.00/359.84
  6. Step 6: Final answer
    x = 292.80

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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.