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Finding the Fourth Proportional to 150.18, 205.76 and 148.76

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Solution

The fourth proportional to 150.18, 205.76 and 148.76 is: 203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.18 : 205.76 = 148.76 : x
  2. Step 2: Convert to fraction form
    150.18/205.76 = 148.76/x
  3. Step 3: Cross multiply
    150.18x = 205.76 × 148.76
  4. Step 4: Simplify right side
    150.18x = 30,608.86
  5. Step 5: Solve for x
    x = 30,608.86/150.18
  6. Step 6: Final answer
    x = 203.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.