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Finding the Fourth Proportional to 254.07, 380.70 and 245.57

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Solution

The fourth proportional to 254.07, 380.70 and 245.57 is: 367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.07 : 380.70 = 245.57 : x
  2. Step 2: Convert to fraction form
    254.07/380.70 = 245.57/x
  3. Step 3: Cross multiply
    254.07x = 380.70 × 245.57
  4. Step 4: Simplify right side
    254.07x = 93,486.60
  5. Step 5: Solve for x
    x = 93,486.60/254.07
  6. Step 6: Final answer
    x = 367.96

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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.