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Finding the Fourth Proportional to 359.10, 538.38 and 142.83

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Solution

The fourth proportional to 359.10, 538.38 and 142.83 is: 214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.10 : 538.38 = 142.83 : x
  2. Step 2: Convert to fraction form
    359.10/538.38 = 142.83/x
  3. Step 3: Cross multiply
    359.10x = 538.38 × 142.83
  4. Step 4: Simplify right side
    359.10x = 76,896.82
  5. Step 5: Solve for x
    x = 76,896.82/359.10
  6. Step 6: Final answer
    x = 214.14

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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.