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Finding the Fourth Proportional to 401.02, 601.70 and 195.77

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Solution

The fourth proportional to 401.02, 601.70 and 195.77 is: 293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.02 : 601.70 = 195.77 : x
  2. Step 2: Convert to fraction form
    401.02/601.70 = 195.77/x
  3. Step 3: Cross multiply
    401.02x = 601.70 × 195.77
  4. Step 4: Simplify right side
    401.02x = 117,794.81
  5. Step 5: Solve for x
    x = 117,794.81/401.02
  6. Step 6: Final answer
    x = 293.74

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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.