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Finding the Fourth Proportional to 205.02, 307.64 and 96.77

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Solution

The fourth proportional to 205.02, 307.64 and 96.77 is: 145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.02 : 307.64 = 96.77 : x
  2. Step 2: Convert to fraction form
    205.02/307.64 = 96.77/x
  3. Step 3: Cross multiply
    205.02x = 307.64 × 96.77
  4. Step 4: Simplify right side
    205.02x = 29,771.33
  5. Step 5: Solve for x
    x = 29,771.33/205.02
  6. Step 6: Final answer
    x = 145.21

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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.