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Finding the Fourth Proportional to 401.11, 601.46 and 184.50

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Solution

The fourth proportional to 401.11, 601.46 and 184.50 is: 276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.11 : 601.46 = 184.50 : x
  2. Step 2: Convert to fraction form
    401.11/601.46 = 184.50/x
  3. Step 3: Cross multiply
    401.11x = 601.46 × 184.50
  4. Step 4: Simplify right side
    401.11x = 110,969.14
  5. Step 5: Solve for x
    x = 110,969.14/401.11
  6. Step 6: Final answer
    x = 276.66

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Why These Related Problems?

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