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Finding the Fourth Proportional to 255.72, 383.91 and 205.00

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Solution

The fourth proportional to 255.72, 383.91 and 205.00 is: 307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.72 : 383.91 = 205.00 : x
  2. Step 2: Convert to fraction form
    255.72/383.91 = 205.00/x
  3. Step 3: Cross multiply
    255.72x = 383.91 × 205.00
  4. Step 4: Simplify right side
    255.72x = 78,699.82
  5. Step 5: Solve for x
    x = 78,699.82/255.72
  6. Step 6: Final answer
    x = 307.75

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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.