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Finding the Fourth Proportional to 205.42, 307.78 and 201.68

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Solution

The fourth proportional to 205.42, 307.78 and 201.68 is: 302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.42 : 307.78 = 201.68 : x
  2. Step 2: Convert to fraction form
    205.42/307.78 = 201.68/x
  3. Step 3: Cross multiply
    205.42x = 307.78 × 201.68
  4. Step 4: Simplify right side
    205.42x = 62,073.07
  5. Step 5: Solve for x
    x = 62,073.07/205.42
  6. Step 6: Final answer
    x = 302.18

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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.