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Finding the Fourth Proportional to 251.19, 377.01 and 114.21

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Solution

The fourth proportional to 251.19, 377.01 and 114.21 is: 171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.19 : 377.01 = 114.21 : x
  2. Step 2: Convert to fraction form
    251.19/377.01 = 114.21/x
  3. Step 3: Cross multiply
    251.19x = 377.01 × 114.21
  4. Step 4: Simplify right side
    251.19x = 43,058.31
  5. Step 5: Solve for x
    x = 43,058.31/251.19
  6. Step 6: Final answer
    x = 171.42

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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.