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Finding the Fourth Proportional to 334.21, 461.38 and 210.06

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Solution

The fourth proportional to 334.21, 461.38 and 210.06 is: 289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.21 : 461.38 = 210.06 : x
  2. Step 2: Convert to fraction form
    334.21/461.38 = 210.06/x
  3. Step 3: Cross multiply
    334.21x = 461.38 × 210.06
  4. Step 4: Simplify right side
    334.21x = 96,917.48
  5. Step 5: Solve for x
    x = 96,917.48/334.21
  6. Step 6: Final answer
    x = 289.99

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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.