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Finding the Fourth Proportional to 250.08, 374.40 and 201.84

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Solution

The fourth proportional to 250.08, 374.40 and 201.84 is: 302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.08 : 374.40 = 201.84 : x
  2. Step 2: Convert to fraction form
    250.08/374.40 = 201.84/x
  3. Step 3: Cross multiply
    250.08x = 374.40 × 201.84
  4. Step 4: Simplify right side
    250.08x = 75,568.90
  5. Step 5: Solve for x
    x = 75,568.90/250.08
  6. Step 6: Final answer
    x = 302.18

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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.