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Finding the Fourth Proportional to 254.24, 379.99 and 233.74

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Solution

The fourth proportional to 254.24, 379.99 and 233.74 is: 349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.24 : 379.99 = 233.74 : x
  2. Step 2: Convert to fraction form
    254.24/379.99 = 233.74/x
  3. Step 3: Cross multiply
    254.24x = 379.99 × 233.74
  4. Step 4: Simplify right side
    254.24x = 88,817.49
  5. Step 5: Solve for x
    x = 88,817.49/254.24
  6. Step 6: Final answer
    x = 349.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.