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Finding the Fourth Proportional to 150.62, 207.36 and 126.02

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Solution

The fourth proportional to 150.62, 207.36 and 126.02 is: 173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.62 : 207.36 = 126.02 : x
  2. Step 2: Convert to fraction form
    150.62/207.36 = 126.02/x
  3. Step 3: Cross multiply
    150.62x = 207.36 × 126.02
  4. Step 4: Simplify right side
    150.62x = 26,131.51
  5. Step 5: Solve for x
    x = 26,131.51/150.62
  6. Step 6: Final answer
    x = 173.49

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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.