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Finding the Fourth Proportional to 150.27, 224.00 and 148.65

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Solution

The fourth proportional to 150.27, 224.00 and 148.65 is: 221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.27 : 224.00 = 148.65 : x
  2. Step 2: Convert to fraction form
    150.27/224.00 = 148.65/x
  3. Step 3: Cross multiply
    150.27x = 224.00 × 148.65
  4. Step 4: Simplify right side
    150.27x = 33,296.16
  5. Step 5: Solve for x
    x = 33,296.16/150.27
  6. Step 6: Final answer
    x = 221.58

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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.