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Finding the Fourth Proportional to 176.68, 264.39 and 122.32

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Solution

The fourth proportional to 176.68, 264.39 and 122.32 is: 183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.68 : 264.39 = 122.32 : x
  2. Step 2: Convert to fraction form
    176.68/264.39 = 122.32/x
  3. Step 3: Cross multiply
    176.68x = 264.39 × 122.32
  4. Step 4: Simplify right side
    176.68x = 32,340.18
  5. Step 5: Solve for x
    x = 32,340.18/176.68
  6. Step 6: Final answer
    x = 183.04

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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.