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Finding the Fourth Proportional to 250.88, 378.40 and 242.24

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Solution

The fourth proportional to 250.88, 378.40 and 242.24 is: 365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.88 : 378.40 = 242.24 : x
  2. Step 2: Convert to fraction form
    250.88/378.40 = 242.24/x
  3. Step 3: Cross multiply
    250.88x = 378.40 × 242.24
  4. Step 4: Simplify right side
    250.88x = 91,663.62
  5. Step 5: Solve for x
    x = 91,663.62/250.88
  6. Step 6: Final answer
    x = 365.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.