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Finding the Fourth Proportional to 249.84, 344.91 and 156.83

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Solution

The fourth proportional to 249.84, 344.91 and 156.83 is: 216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.84 : 344.91 = 156.83 : x
  2. Step 2: Convert to fraction form
    249.84/344.91 = 156.83/x
  3. Step 3: Cross multiply
    249.84x = 344.91 × 156.83
  4. Step 4: Simplify right side
    249.84x = 54,090.51
  5. Step 5: Solve for x
    x = 54,090.51/249.84
  6. Step 6: Final answer
    x = 216.50

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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.