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Finding the Fourth Proportional to 249.66, 343.94 and 210.24

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Solution

The fourth proportional to 249.66, 343.94 and 210.24 is: 289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.66 : 343.94 = 210.24 : x
  2. Step 2: Convert to fraction form
    249.66/343.94 = 210.24/x
  3. Step 3: Cross multiply
    249.66x = 343.94 × 210.24
  4. Step 4: Simplify right side
    249.66x = 72,308.89
  5. Step 5: Solve for x
    x = 72,308.89/249.66
  6. Step 6: Final answer
    x = 289.63

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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.