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Finding the Fourth Proportional to 330.42, 495.75 and 138.06

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Solution

The fourth proportional to 330.42, 495.75 and 138.06 is: 207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.42 : 495.75 = 138.06 : x
  2. Step 2: Convert to fraction form
    330.42/495.75 = 138.06/x
  3. Step 3: Cross multiply
    330.42x = 495.75 × 138.06
  4. Step 4: Simplify right side
    330.42x = 68,443.25
  5. Step 5: Solve for x
    x = 68,443.25/330.42
  6. Step 6: Final answer
    x = 207.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.