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Finding the Fourth Proportional to 254.56, 382 and 185.02

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Solution

The fourth proportional to 254.56, 382 and 185.02 is: 277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.56 : 382 = 185.02 : x
  2. Step 2: Convert to fraction form
    254.56/382 = 185.02/x
  3. Step 3: Cross multiply
    254.56x = 382 × 185.02
  4. Step 4: Simplify right side
    254.56x = 70,677.64
  5. Step 5: Solve for x
    x = 70,677.64/254.56
  6. Step 6: Final answer
    x = 277.65

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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.