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Finding the Fourth Proportional to 359.64, 539.30 and 143.07

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Solution

The fourth proportional to 359.64, 539.30 and 143.07 is: 214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.64 : 539.30 = 143.07 : x
  2. Step 2: Convert to fraction form
    359.64/539.30 = 143.07/x
  3. Step 3: Cross multiply
    359.64x = 539.30 × 143.07
  4. Step 4: Simplify right side
    359.64x = 77,156.94
  5. Step 5: Solve for x
    x = 77,156.94/359.64
  6. Step 6: Final answer
    x = 214.54

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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.