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Finding the Fourth Proportional to 249.56, 344.40 and 146.06

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Solution

The fourth proportional to 249.56, 344.40 and 146.06 is: 201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.56 : 344.40 = 146.06 : x
  2. Step 2: Convert to fraction form
    249.56/344.40 = 146.06/x
  3. Step 3: Cross multiply
    249.56x = 344.40 × 146.06
  4. Step 4: Simplify right side
    249.56x = 50,303.93
  5. Step 5: Solve for x
    x = 50,303.93/249.56
  6. Step 6: Final answer
    x = 201.57

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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.