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Finding the Fourth Proportional to 176.94, 264.19 and 166.01

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Solution

The fourth proportional to 176.94, 264.19 and 166.01 is: 247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.94 : 264.19 = 166.01 : x
  2. Step 2: Convert to fraction form
    176.94/264.19 = 166.01/x
  3. Step 3: Cross multiply
    176.94x = 264.19 × 166.01
  4. Step 4: Simplify right side
    176.94x = 43,858.18
  5. Step 5: Solve for x
    x = 43,858.18/176.94
  6. Step 6: Final answer
    x = 247.87

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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.