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Finding the Fourth Proportional to 150.98, 208.24 and 114.07

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Solution

The fourth proportional to 150.98, 208.24 and 114.07 is: 157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.98 : 208.24 = 114.07 : x
  2. Step 2: Convert to fraction form
    150.98/208.24 = 114.07/x
  3. Step 3: Cross multiply
    150.98x = 208.24 × 114.07
  4. Step 4: Simplify right side
    150.98x = 23,753.94
  5. Step 5: Solve for x
    x = 23,753.94/150.98
  6. Step 6: Final answer
    x = 157.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.