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Finding the Fourth Proportional to 426.60, 639.82 and 114.25

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Solution

The fourth proportional to 426.60, 639.82 and 114.25 is: 171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.60 : 639.82 = 114.25 : x
  2. Step 2: Convert to fraction form
    426.60/639.82 = 114.25/x
  3. Step 3: Cross multiply
    426.60x = 639.82 × 114.25
  4. Step 4: Simplify right side
    426.60x = 73,095.66
  5. Step 5: Solve for x
    x = 73,095.66/426.60
  6. Step 6: Final answer
    x = 171.35

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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.