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Finding the Fourth Proportional to 241.99, 333.10 and 214.31

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Solution

The fourth proportional to 241.99, 333.10 and 214.31 is: 295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.99 : 333.10 = 214.31 : x
  2. Step 2: Convert to fraction form
    241.99/333.10 = 214.31/x
  3. Step 3: Cross multiply
    241.99x = 333.10 × 214.31
  4. Step 4: Simplify right side
    241.99x = 71,386.66
  5. Step 5: Solve for x
    x = 71,386.66/241.99
  6. Step 6: Final answer
    x = 295.00

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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.