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Finding the Fourth Proportional to 205.49, 307.46 and 193.19

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Solution

The fourth proportional to 205.49, 307.46 and 193.19 is: 289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.49 : 307.46 = 193.19 : x
  2. Step 2: Convert to fraction form
    205.49/307.46 = 193.19/x
  3. Step 3: Cross multiply
    205.49x = 307.46 × 193.19
  4. Step 4: Simplify right side
    205.49x = 59,397.14
  5. Step 5: Solve for x
    x = 59,397.14/205.49
  6. Step 6: Final answer
    x = 289.05

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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.