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Finding the Fourth Proportional to 150.06, 224.07 and 123.06

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Solution

The fourth proportional to 150.06, 224.07 and 123.06 is: 183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.06 : 224.07 = 123.06 : x
  2. Step 2: Convert to fraction form
    150.06/224.07 = 123.06/x
  3. Step 3: Cross multiply
    150.06x = 224.07 × 123.06
  4. Step 4: Simplify right side
    150.06x = 27,574.05
  5. Step 5: Solve for x
    x = 27,574.05/150.06
  6. Step 6: Final answer
    x = 183.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.