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Finding the Fourth Proportional to 359.42, 538.46 and 164.13

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Solution

The fourth proportional to 359.42, 538.46 and 164.13 is: 245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.42 : 538.46 = 164.13 : x
  2. Step 2: Convert to fraction form
    359.42/538.46 = 164.13/x
  3. Step 3: Cross multiply
    359.42x = 538.46 × 164.13
  4. Step 4: Simplify right side
    359.42x = 88,376.14
  5. Step 5: Solve for x
    x = 88,376.14/359.42
  6. Step 6: Final answer
    x = 245.88

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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.