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Finding the Fourth Proportional to 205.83, 308.90 and 145.02

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Solution

The fourth proportional to 205.83, 308.90 and 145.02 is: 217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 308.90 = 145.02 : x
  2. Step 2: Convert to fraction form
    205.83/308.90 = 145.02/x
  3. Step 3: Cross multiply
    205.83x = 308.90 × 145.02
  4. Step 4: Simplify right side
    205.83x = 44,795.95
  5. Step 5: Solve for x
    x = 44,795.95/205.83
  6. Step 6: Final answer
    x = 217.64

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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.