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Finding the Fourth Proportional to 330.49, 495.81 and 114.07

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Solution

The fourth proportional to 330.49, 495.81 and 114.07 is: 171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.49 : 495.81 = 114.07 : x
  2. Step 2: Convert to fraction form
    330.49/495.81 = 114.07/x
  3. Step 3: Cross multiply
    330.49x = 495.81 × 114.07
  4. Step 4: Simplify right side
    330.49x = 56,557.05
  5. Step 5: Solve for x
    x = 56,557.05/330.49
  6. Step 6: Final answer
    x = 171.13

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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.