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Finding the Fourth Proportional to 359.18, 538.97 and 164.30

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Solution

The fourth proportional to 359.18, 538.97 and 164.30 is: 246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.18 : 538.97 = 164.30 : x
  2. Step 2: Convert to fraction form
    359.18/538.97 = 164.30/x
  3. Step 3: Cross multiply
    359.18x = 538.97 × 164.30
  4. Step 4: Simplify right side
    359.18x = 88,552.77
  5. Step 5: Solve for x
    x = 88,552.77/359.18
  6. Step 6: Final answer
    x = 246.54

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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.