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Finding the Fourth Proportional to 150.14, 207.32 and 119.23

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Solution

The fourth proportional to 150.14, 207.32 and 119.23 is: 164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.14 : 207.32 = 119.23 : x
  2. Step 2: Convert to fraction form
    150.14/207.32 = 119.23/x
  3. Step 3: Cross multiply
    150.14x = 207.32 × 119.23
  4. Step 4: Simplify right side
    150.14x = 24,718.76
  5. Step 5: Solve for x
    x = 24,718.76/150.14
  6. Step 6: Final answer
    x = 164.64

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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.