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Finding the Fourth Proportional to 254.64, 382.14 and 192.81

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Solution

The fourth proportional to 254.64, 382.14 and 192.81 is: 289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.64 : 382.14 = 192.81 : x
  2. Step 2: Convert to fraction form
    254.64/382.14 = 192.81/x
  3. Step 3: Cross multiply
    254.64x = 382.14 × 192.81
  4. Step 4: Simplify right side
    254.64x = 73,680.41
  5. Step 5: Solve for x
    x = 73,680.41/254.64
  6. Step 6: Final answer
    x = 289.35

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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.