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Finding the Fourth Proportional to 150.96, 207 and 149.52

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Solution

The fourth proportional to 150.96, 207 and 149.52 is: 205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 207 = 149.52 : x
  2. Step 2: Convert to fraction form
    150.96/207 = 149.52/x
  3. Step 3: Cross multiply
    150.96x = 207 × 149.52
  4. Step 4: Simplify right side
    150.96x = 30,950.64
  5. Step 5: Solve for x
    x = 30,950.64/150.96
  6. Step 6: Final answer
    x = 205.03

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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.