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Finding the Fourth Proportional to 359.82, 496.35 and 243.18

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Solution

The fourth proportional to 359.82, 496.35 and 243.18 is: 335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.82 : 496.35 = 243.18 : x
  2. Step 2: Convert to fraction form
    359.82/496.35 = 243.18/x
  3. Step 3: Cross multiply
    359.82x = 496.35 × 243.18
  4. Step 4: Simplify right side
    359.82x = 120,702.39
  5. Step 5: Solve for x
    x = 120,702.39/359.82
  6. Step 6: Final answer
    x = 335.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.