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Finding the Fourth Proportional to 176.22, 264.10 and 122

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Solution

The fourth proportional to 176.22, 264.10 and 122 is: 182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.22 : 264.10 = 122 : x
  2. Step 2: Convert to fraction form
    176.22/264.10 = 122/x
  3. Step 3: Cross multiply
    176.22x = 264.10 × 122
  4. Step 4: Simplify right side
    176.22x = 32,220.20
  5. Step 5: Solve for x
    x = 32,220.20/176.22
  6. Step 6: Final answer
    x = 182.84

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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.