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Finding the Fourth Proportional to 250.27, 375.40 and 96.23

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Solution

The fourth proportional to 250.27, 375.40 and 96.23 is: 144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.27 : 375.40 = 96.23 : x
  2. Step 2: Convert to fraction form
    250.27/375.40 = 96.23/x
  3. Step 3: Cross multiply
    250.27x = 375.40 × 96.23
  4. Step 4: Simplify right side
    250.27x = 36,124.74
  5. Step 5: Solve for x
    x = 36,124.74/250.27
  6. Step 6: Final answer
    x = 144.34

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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.