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Finding the Fourth Proportional to 359.98, 539.76 and 164.90

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Solution

The fourth proportional to 359.98, 539.76 and 164.90 is: 247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.98 : 539.76 = 164.90 : x
  2. Step 2: Convert to fraction form
    359.98/539.76 = 164.90/x
  3. Step 3: Cross multiply
    359.98x = 539.76 × 164.90
  4. Step 4: Simplify right side
    359.98x = 89,006.42
  5. Step 5: Solve for x
    x = 89,006.42/359.98
  6. Step 6: Final answer
    x = 247.25

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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.