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Finding the Fourth Proportional to 150.46, 207.57 and 92.23

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Solution

The fourth proportional to 150.46, 207.57 and 92.23 is: 127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.46 : 207.57 = 92.23 : x
  2. Step 2: Convert to fraction form
    150.46/207.57 = 92.23/x
  3. Step 3: Cross multiply
    150.46x = 207.57 × 92.23
  4. Step 4: Simplify right side
    150.46x = 19,144.18
  5. Step 5: Solve for x
    x = 19,144.18/150.46
  6. Step 6: Final answer
    x = 127.24

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