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Finding the Fourth Proportional to 150.08, 224.86 and 130.60

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Solution

The fourth proportional to 150.08, 224.86 and 130.60 is: 195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.08 : 224.86 = 130.60 : x
  2. Step 2: Convert to fraction form
    150.08/224.86 = 130.60/x
  3. Step 3: Cross multiply
    150.08x = 224.86 × 130.60
  4. Step 4: Simplify right side
    150.08x = 29,365.83
  5. Step 5: Solve for x
    x = 29,365.83/150.08
  6. Step 6: Final answer
    x = 195.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.