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Finding the Fourth Proportional to 748.80, 1,123.16 and 201

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Solution

The fourth proportional to 748.80, 1,123.16 and 201 is: 301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.80 : 1,123.16 = 201 : x
  2. Step 2: Convert to fraction form
    748.80/1,123.16 = 201/x
  3. Step 3: Cross multiply
    748.80x = 1,123.16 × 201
  4. Step 4: Simplify right side
    748.80x = 225,755.16
  5. Step 5: Solve for x
    x = 225,755.16/748.80
  6. Step 6: Final answer
    x = 301.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.