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Finding the Fourth Proportional to 468.71, 703.06 and 194.73

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Solution

The fourth proportional to 468.71, 703.06 and 194.73 is: 292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.71 : 703.06 = 194.73 : x
  2. Step 2: Convert to fraction form
    468.71/703.06 = 194.73/x
  3. Step 3: Cross multiply
    468.71x = 703.06 × 194.73
  4. Step 4: Simplify right side
    468.71x = 136,903.36
  5. Step 5: Solve for x
    x = 136,903.36/468.71
  6. Step 6: Final answer
    x = 292.09

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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.