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Finding the Fourth Proportional to 401.98, 602.76 and 185.38

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Solution

The fourth proportional to 401.98, 602.76 and 185.38 is: 277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.98 : 602.76 = 185.38 : x
  2. Step 2: Convert to fraction form
    401.98/602.76 = 185.38/x
  3. Step 3: Cross multiply
    401.98x = 602.76 × 185.38
  4. Step 4: Simplify right side
    401.98x = 111,739.65
  5. Step 5: Solve for x
    x = 111,739.65/401.98
  6. Step 6: Final answer
    x = 277.97

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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.