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Finding the Fourth Proportional to 255.71, 382.71 and 194.50

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Solution

The fourth proportional to 255.71, 382.71 and 194.50 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.71 : 382.71 = 194.50 : x
  2. Step 2: Convert to fraction form
    255.71/382.71 = 194.50/x
  3. Step 3: Cross multiply
    255.71x = 382.71 × 194.50
  4. Step 4: Simplify right side
    255.71x = 74,435.18
  5. Step 5: Solve for x
    x = 74,435.18/255.71
  6. Step 6: Final answer
    x = 291.10

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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.