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Finding the Fourth Proportional to 249.96, 345.02 and 156.68

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Solution

The fourth proportional to 249.96, 345.02 and 156.68 is: 216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.96 : 345.02 = 156.68 : x
  2. Step 2: Convert to fraction form
    249.96/345.02 = 156.68/x
  3. Step 3: Cross multiply
    249.96x = 345.02 × 156.68
  4. Step 4: Simplify right side
    249.96x = 54,055.23
  5. Step 5: Solve for x
    x = 54,055.23/249.96
  6. Step 6: Final answer
    x = 216.26

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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.