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Finding the Fourth Proportional to 255.68, 383.16 and 204.10

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Solution

The fourth proportional to 255.68, 383.16 and 204.10 is: 305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.68 : 383.16 = 204.10 : x
  2. Step 2: Convert to fraction form
    255.68/383.16 = 204.10/x
  3. Step 3: Cross multiply
    255.68x = 383.16 × 204.10
  4. Step 4: Simplify right side
    255.68x = 78,202.96
  5. Step 5: Solve for x
    x = 78,202.96/255.68
  6. Step 6: Final answer
    x = 305.86

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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.