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Finding the Fourth Proportional to 331.10, 456.86 and 214.60

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Solution

The fourth proportional to 331.10, 456.86 and 214.60 is: 296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.10 : 456.86 = 214.60 : x
  2. Step 2: Convert to fraction form
    331.10/456.86 = 214.60/x
  3. Step 3: Cross multiply
    331.10x = 456.86 × 214.60
  4. Step 4: Simplify right side
    331.10x = 98,039.94
  5. Step 5: Solve for x
    x = 98,039.94/331.10
  6. Step 6: Final answer
    x = 296.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.