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Finding the Fourth Proportional to 426.10, 639.36 and 194.95

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Solution

The fourth proportional to 426.10, 639.36 and 194.95 is: 292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.10 : 639.36 = 194.95 : x
  2. Step 2: Convert to fraction form
    426.10/639.36 = 194.95/x
  3. Step 3: Cross multiply
    426.10x = 639.36 × 194.95
  4. Step 4: Simplify right side
    426.10x = 124,643.23
  5. Step 5: Solve for x
    x = 124,643.23/426.10
  6. Step 6: Final answer
    x = 292.52

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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.