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Finding the Fourth Proportional to 330.42, 495.69 and 114.01

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Solution

The fourth proportional to 330.42, 495.69 and 114.01 is: 171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.42 : 495.69 = 114.01 : x
  2. Step 2: Convert to fraction form
    330.42/495.69 = 114.01/x
  3. Step 3: Cross multiply
    330.42x = 495.69 × 114.01
  4. Step 4: Simplify right side
    330.42x = 56,513.62
  5. Step 5: Solve for x
    x = 56,513.62/330.42
  6. Step 6: Final answer
    x = 171.04

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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.