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Finding the Fourth Proportional to 201.50, 300.63 and 175.78

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Solution

The fourth proportional to 201.50, 300.63 and 175.78 is: 262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.50 : 300.63 = 175.78 : x
  2. Step 2: Convert to fraction form
    201.50/300.63 = 175.78/x
  3. Step 3: Cross multiply
    201.50x = 300.63 × 175.78
  4. Step 4: Simplify right side
    201.50x = 52,844.74
  5. Step 5: Solve for x
    x = 52,844.74/201.50
  6. Step 6: Final answer
    x = 262.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.