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Finding the Fourth Proportional to 250.14, 375.38 and 188.31

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Solution

The fourth proportional to 250.14, 375.38 and 188.31 is: 282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.14 : 375.38 = 188.31 : x
  2. Step 2: Convert to fraction form
    250.14/375.38 = 188.31/x
  3. Step 3: Cross multiply
    250.14x = 375.38 × 188.31
  4. Step 4: Simplify right side
    250.14x = 70,686.87
  5. Step 5: Solve for x
    x = 70,686.87/250.14
  6. Step 6: Final answer
    x = 282.59

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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.