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Finding the Fourth Proportional to 205.36, 307.77 and 102.42

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Solution

The fourth proportional to 205.36, 307.77 and 102.42 is: 153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.36 : 307.77 = 102.42 : x
  2. Step 2: Convert to fraction form
    205.36/307.77 = 102.42/x
  3. Step 3: Cross multiply
    205.36x = 307.77 × 102.42
  4. Step 4: Simplify right side
    205.36x = 31,521.80
  5. Step 5: Solve for x
    x = 31,521.80/205.36
  6. Step 6: Final answer
    x = 153.50

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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.