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Finding the Fourth Proportional to 359.32, 538.83 and 112.46

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Solution

The fourth proportional to 359.32, 538.83 and 112.46 is: 168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.32 : 538.83 = 112.46 : x
  2. Step 2: Convert to fraction form
    359.32/538.83 = 112.46/x
  3. Step 3: Cross multiply
    359.32x = 538.83 × 112.46
  4. Step 4: Simplify right side
    359.32x = 60,596.15
  5. Step 5: Solve for x
    x = 60,596.15/359.32
  6. Step 6: Final answer
    x = 168.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.