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Finding the Fourth Proportional to 205.01, 307.40 and 68.01

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Solution

The fourth proportional to 205.01, 307.40 and 68.01 is: 101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.01 : 307.40 = 68.01 : x
  2. Step 2: Convert to fraction form
    205.01/307.40 = 68.01/x
  3. Step 3: Cross multiply
    205.01x = 307.40 × 68.01
  4. Step 4: Simplify right side
    205.01x = 20,905.93
  5. Step 5: Solve for x
    x = 20,905.93/205.01
  6. Step 6: Final answer
    x = 101.98

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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.