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Finding the Fourth Proportional to 330.50, 495.94 and 135.47

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Solution

The fourth proportional to 330.50, 495.94 and 135.47 is: 203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.50 : 495.94 = 135.47 : x
  2. Step 2: Convert to fraction form
    330.50/495.94 = 135.47/x
  3. Step 3: Cross multiply
    330.50x = 495.94 × 135.47
  4. Step 4: Simplify right side
    330.50x = 67,184.99
  5. Step 5: Solve for x
    x = 67,184.99/330.50
  6. Step 6: Final answer
    x = 203.28

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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.