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Finding the Fourth Proportional to 401.30, 601.92 and 185

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Solution

The fourth proportional to 401.30, 601.92 and 185 is: 277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.30 : 601.92 = 185 : x
  2. Step 2: Convert to fraction form
    401.30/601.92 = 185/x
  3. Step 3: Cross multiply
    401.30x = 601.92 × 185
  4. Step 4: Simplify right side
    401.30x = 111,355.20
  5. Step 5: Solve for x
    x = 111,355.20/401.30
  6. Step 6: Final answer
    x = 277.49

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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.