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Finding the Fourth Proportional to 150.65, 208.14 and 113.93

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Solution

The fourth proportional to 150.65, 208.14 and 113.93 is: 157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.65 : 208.14 = 113.93 : x
  2. Step 2: Convert to fraction form
    150.65/208.14 = 113.93/x
  3. Step 3: Cross multiply
    150.65x = 208.14 × 113.93
  4. Step 4: Simplify right side
    150.65x = 23,713.39
  5. Step 5: Solve for x
    x = 23,713.39/150.65
  6. Step 6: Final answer
    x = 157.41

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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.