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Finding the Fourth Proportional to 401.20, 601.58 and 184.51

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Solution

The fourth proportional to 401.20, 601.58 and 184.51 is: 276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.20 : 601.58 = 184.51 : x
  2. Step 2: Convert to fraction form
    401.20/601.58 = 184.51/x
  3. Step 3: Cross multiply
    401.20x = 601.58 × 184.51
  4. Step 4: Simplify right side
    401.20x = 110,996.60
  5. Step 5: Solve for x
    x = 110,996.60/401.20
  6. Step 6: Final answer
    x = 276.66

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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.