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Finding the Fourth Proportional to 330.35, 495.14 and 184.06

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Solution

The fourth proportional to 330.35, 495.14 and 184.06 is: 275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.35 : 495.14 = 184.06 : x
  2. Step 2: Convert to fraction form
    330.35/495.14 = 184.06/x
  3. Step 3: Cross multiply
    330.35x = 495.14 × 184.06
  4. Step 4: Simplify right side
    330.35x = 91,135.17
  5. Step 5: Solve for x
    x = 91,135.17/330.35
  6. Step 6: Final answer
    x = 275.88

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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.