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Finding the Fourth Proportional to 176.77, 264.99 and 85.54

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Solution

The fourth proportional to 176.77, 264.99 and 85.54 is: 128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.77 : 264.99 = 85.54 : x
  2. Step 2: Convert to fraction form
    176.77/264.99 = 85.54/x
  3. Step 3: Cross multiply
    176.77x = 264.99 × 85.54
  4. Step 4: Simplify right side
    176.77x = 22,667.24
  5. Step 5: Solve for x
    x = 22,667.24/176.77
  6. Step 6: Final answer
    x = 128.23

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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.