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Finding the Fourth Proportional to 149.93, 225.20 and 145.37

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Solution

The fourth proportional to 149.93, 225.20 and 145.37 is: 218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.93 : 225.20 = 145.37 : x
  2. Step 2: Convert to fraction form
    149.93/225.20 = 145.37/x
  3. Step 3: Cross multiply
    149.93x = 225.20 × 145.37
  4. Step 4: Simplify right side
    149.93x = 32,737.32
  5. Step 5: Solve for x
    x = 32,737.32/149.93
  6. Step 6: Final answer
    x = 218.35

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