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Finding the Fourth Proportional to 330.14, 494.89 and 156.50

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Solution

The fourth proportional to 330.14, 494.89 and 156.50 is: 234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.14 : 494.89 = 156.50 : x
  2. Step 2: Convert to fraction form
    330.14/494.89 = 156.50/x
  3. Step 3: Cross multiply
    330.14x = 494.89 × 156.50
  4. Step 4: Simplify right side
    330.14x = 77,449.50
  5. Step 5: Solve for x
    x = 77,449.50/330.14
  6. Step 6: Final answer
    x = 234.60

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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.