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Finding the Fourth Proportional to 330.16, 495.52 and 184.05

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Solution

The fourth proportional to 330.16, 495.52 and 184.05 is: 276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.16 : 495.52 = 184.05 : x
  2. Step 2: Convert to fraction form
    330.16/495.52 = 184.05/x
  3. Step 3: Cross multiply
    330.16x = 495.52 × 184.05
  4. Step 4: Simplify right side
    330.16x = 91,200.46
  5. Step 5: Solve for x
    x = 91,200.46/330.16
  6. Step 6: Final answer
    x = 276.23

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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.