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Finding the Fourth Proportional to 176.14, 263.79 and 149.02

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Solution

The fourth proportional to 176.14, 263.79 and 149.02 is: 223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.14 : 263.79 = 149.02 : x
  2. Step 2: Convert to fraction form
    176.14/263.79 = 149.02/x
  3. Step 3: Cross multiply
    176.14x = 263.79 × 149.02
  4. Step 4: Simplify right side
    176.14x = 39,309.99
  5. Step 5: Solve for x
    x = 39,309.99/176.14
  6. Step 6: Final answer
    x = 223.17

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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.