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Finding the Fourth Proportional to 250.19, 374.96 and 189.14

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Solution

The fourth proportional to 250.19, 374.96 and 189.14 is: 283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.19 : 374.96 = 189.14 : x
  2. Step 2: Convert to fraction form
    250.19/374.96 = 189.14/x
  3. Step 3: Cross multiply
    250.19x = 374.96 × 189.14
  4. Step 4: Simplify right side
    250.19x = 70,919.93
  5. Step 5: Solve for x
    x = 70,919.93/250.19
  6. Step 6: Final answer
    x = 283.46

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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.