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Finding the Fourth Proportional to 276.51, 414.80 and 114.31

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Solution

The fourth proportional to 276.51, 414.80 and 114.31 is: 171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.51 : 414.80 = 114.31 : x
  2. Step 2: Convert to fraction form
    276.51/414.80 = 114.31/x
  3. Step 3: Cross multiply
    276.51x = 414.80 × 114.31
  4. Step 4: Simplify right side
    276.51x = 47,413.14
  5. Step 5: Solve for x
    x = 47,413.14/276.51
  6. Step 6: Final answer
    x = 171.47

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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.