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Finding the Fourth Proportional to 359.31, 538.35 and 164.00

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Solution

The fourth proportional to 359.31, 538.35 and 164.00 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.31 : 538.35 = 164.00 : x
  2. Step 2: Convert to fraction form
    359.31/538.35 = 164.00/x
  3. Step 3: Cross multiply
    359.31x = 538.35 × 164.00
  4. Step 4: Simplify right side
    359.31x = 88,286.71
  5. Step 5: Solve for x
    x = 88,286.71/359.31
  6. Step 6: Final answer
    x = 245.71

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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.