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Finding the Fourth Proportional to 331.87, 497.64 and 146.83

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Solution

The fourth proportional to 331.87, 497.64 and 146.83 is: 220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.87 : 497.64 = 146.83 : x
  2. Step 2: Convert to fraction form
    331.87/497.64 = 146.83/x
  3. Step 3: Cross multiply
    331.87x = 497.64 × 146.83
  4. Step 4: Simplify right side
    331.87x = 73,068.48
  5. Step 5: Solve for x
    x = 73,068.48/331.87
  6. Step 6: Final answer
    x = 220.17

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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.