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Finding the Fourth Proportional to 400.90, 601.59 and 184.49

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Solution

The fourth proportional to 400.90, 601.59 and 184.49 is: 276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.90 : 601.59 = 184.49 : x
  2. Step 2: Convert to fraction form
    400.90/601.59 = 184.49/x
  3. Step 3: Cross multiply
    400.90x = 601.59 × 184.49
  4. Step 4: Simplify right side
    400.90x = 110,987.34
  5. Step 5: Solve for x
    x = 110,987.34/400.90
  6. Step 6: Final answer
    x = 276.85

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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.