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Finding the Fourth Proportional to 176.36, 264.21 and 157.31

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Solution

The fourth proportional to 176.36, 264.21 and 157.31 is: 235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.36 : 264.21 = 157.31 : x
  2. Step 2: Convert to fraction form
    176.36/264.21 = 157.31/x
  3. Step 3: Cross multiply
    176.36x = 264.21 × 157.31
  4. Step 4: Simplify right side
    176.36x = 41,562.88
  5. Step 5: Solve for x
    x = 41,562.88/176.36
  6. Step 6: Final answer
    x = 235.67

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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.