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Finding the Fourth Proportional to 205.20, 307.40 and 123.80

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Solution

The fourth proportional to 205.20, 307.40 and 123.80 is: 185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 307.40 = 123.80 : x
  2. Step 2: Convert to fraction form
    205.20/307.40 = 123.80/x
  3. Step 3: Cross multiply
    205.20x = 307.40 × 123.80
  4. Step 4: Simplify right side
    205.20x = 38,056.12
  5. Step 5: Solve for x
    x = 38,056.12/205.20
  6. Step 6: Final answer
    x = 185.46

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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.