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Finding the Fourth Proportional to 918.70, 1,378.04 and 225.37

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Solution

The fourth proportional to 918.70, 1,378.04 and 225.37 is: 338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.70 : 1,378.04 = 225.37 : x
  2. Step 2: Convert to fraction form
    918.70/1,378.04 = 225.37/x
  3. Step 3: Cross multiply
    918.70x = 1,378.04 × 225.37
  4. Step 4: Simplify right side
    918.70x = 310,568.87
  5. Step 5: Solve for x
    x = 310,568.87/918.70
  6. Step 6: Final answer
    x = 338.05

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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.