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Finding the Fourth Proportional to 175.65, 262.08 and 149.68

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Solution

The fourth proportional to 175.65, 262.08 and 149.68 is: 223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.65 : 262.08 = 149.68 : x
  2. Step 2: Convert to fraction form
    175.65/262.08 = 149.68/x
  3. Step 3: Cross multiply
    175.65x = 262.08 × 149.68
  4. Step 4: Simplify right side
    175.65x = 39,228.04
  5. Step 5: Solve for x
    x = 39,228.04/175.65
  6. Step 6: Final answer
    x = 223.33

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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.