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Finding the Fourth Proportional to 155.25, 231.62 and 149.64

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Solution

The fourth proportional to 155.25, 231.62 and 149.64 is: 223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.25 : 231.62 = 149.64 : x
  2. Step 2: Convert to fraction form
    155.25/231.62 = 149.64/x
  3. Step 3: Cross multiply
    155.25x = 231.62 × 149.64
  4. Step 4: Simplify right side
    155.25x = 34,658.87
  5. Step 5: Solve for x
    x = 34,658.87/155.25
  6. Step 6: Final answer
    x = 223.25

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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.