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Finding the Fourth Proportional to 330.84, 495.89 and 157.37

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Solution

The fourth proportional to 330.84, 495.89 and 157.37 is: 235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.84 : 495.89 = 157.37 : x
  2. Step 2: Convert to fraction form
    330.84/495.89 = 157.37/x
  3. Step 3: Cross multiply
    330.84x = 495.89 × 157.37
  4. Step 4: Simplify right side
    330.84x = 78,035.53
  5. Step 5: Solve for x
    x = 78,035.53/330.84
  6. Step 6: Final answer
    x = 235.87

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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.