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Finding the Fourth Proportional to 359.85, 496.64 and 202.55

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Solution

The fourth proportional to 359.85, 496.64 and 202.55 is: 279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.85 : 496.64 = 202.55 : x
  2. Step 2: Convert to fraction form
    359.85/496.64 = 202.55/x
  3. Step 3: Cross multiply
    359.85x = 496.64 × 202.55
  4. Step 4: Simplify right side
    359.85x = 100,592.46
  5. Step 5: Solve for x
    x = 100,592.46/359.85
  6. Step 6: Final answer
    x = 279.54

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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.