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Finding the Fourth Proportional to 359.04, 537.60 and 195.96

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Solution

The fourth proportional to 359.04, 537.60 and 195.96 is: 293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.04 : 537.60 = 195.96 : x
  2. Step 2: Convert to fraction form
    359.04/537.60 = 195.96/x
  3. Step 3: Cross multiply
    359.04x = 537.60 × 195.96
  4. Step 4: Simplify right side
    359.04x = 105,348.10
  5. Step 5: Solve for x
    x = 105,348.10/359.04
  6. Step 6: Final answer
    x = 293.42

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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.