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Finding the Fourth Proportional to 254.24, 381.77 and 192.55

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Solution

The fourth proportional to 254.24, 381.77 and 192.55 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.24 : 381.77 = 192.55 : x
  2. Step 2: Convert to fraction form
    254.24/381.77 = 192.55/x
  3. Step 3: Cross multiply
    254.24x = 381.77 × 192.55
  4. Step 4: Simplify right side
    254.24x = 73,509.81
  5. Step 5: Solve for x
    x = 73,509.81/254.24
  6. Step 6: Final answer
    x = 289.14

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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.