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Finding the Fourth Proportional to 331.80, 497.57 and 146.63

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Solution

The fourth proportional to 331.80, 497.57 and 146.63 is: 219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.80 : 497.57 = 146.63 : x
  2. Step 2: Convert to fraction form
    331.80/497.57 = 146.63/x
  3. Step 3: Cross multiply
    331.80x = 497.57 × 146.63
  4. Step 4: Simplify right side
    331.80x = 72,955.47
  5. Step 5: Solve for x
    x = 72,955.47/331.80
  6. Step 6: Final answer
    x = 219.88

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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.