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Finding the Fourth Proportional to 359.99, 539.28 and 176.84

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Solution

The fourth proportional to 359.99, 539.28 and 176.84 is: 264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.99 : 539.28 = 176.84 : x
  2. Step 2: Convert to fraction form
    359.99/539.28 = 176.84/x
  3. Step 3: Cross multiply
    359.99x = 539.28 × 176.84
  4. Step 4: Simplify right side
    359.99x = 95,363.58
  5. Step 5: Solve for x
    x = 95,363.58/359.99
  6. Step 6: Final answer
    x = 264.90

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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.