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Finding the Fourth Proportional to 205.09, 307.63 and 51.02

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Solution

The fourth proportional to 205.09, 307.63 and 51.02 is: 76.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.09 : 307.63 = 51.02 : x
  2. Step 2: Convert to fraction form
    205.09/307.63 = 51.02/x
  3. Step 3: Cross multiply
    205.09x = 307.63 × 51.02
  4. Step 4: Simplify right side
    205.09x = 15,693.49
  5. Step 5: Solve for x
    x = 15,693.49/205.09
  6. Step 6: Final answer
    x = 76.52

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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.