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Finding the Fourth Proportional to 205, 307.50 and 76.75

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Solution

The fourth proportional to 205, 307.50 and 76.75 is: 115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205 : 307.50 = 76.75 : x
  2. Step 2: Convert to fraction form
    205/307.50 = 76.75/x
  3. Step 3: Cross multiply
    205x = 307.50 × 76.75
  4. Step 4: Simplify right side
    205x = 23,600.63
  5. Step 5: Solve for x
    x = 23,600.63/205
  6. Step 6: Final answer
    x = 115.13

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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.