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Finding the Fourth Proportional to 250.70, 345.75 and 201.56

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Solution

The fourth proportional to 250.70, 345.75 and 201.56 is: 277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.70 : 345.75 = 201.56 : x
  2. Step 2: Convert to fraction form
    250.70/345.75 = 201.56/x
  3. Step 3: Cross multiply
    250.70x = 345.75 × 201.56
  4. Step 4: Simplify right side
    250.70x = 69,689.37
  5. Step 5: Solve for x
    x = 69,689.37/250.70
  6. Step 6: Final answer
    x = 277.98

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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.