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Finding the Fourth Proportional to 205.20, 307.35 and 123.90

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Solution

The fourth proportional to 205.20, 307.35 and 123.90 is: 185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 307.35 = 123.90 : x
  2. Step 2: Convert to fraction form
    205.20/307.35 = 123.90/x
  3. Step 3: Cross multiply
    205.20x = 307.35 × 123.90
  4. Step 4: Simplify right side
    205.20x = 38,080.67
  5. Step 5: Solve for x
    x = 38,080.67/205.20
  6. Step 6: Final answer
    x = 185.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.