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Finding the Fourth Proportional to 176.23, 263.91 and 115.30

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Solution

The fourth proportional to 176.23, 263.91 and 115.30 is: 172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.23 : 263.91 = 115.30 : x
  2. Step 2: Convert to fraction form
    176.23/263.91 = 115.30/x
  3. Step 3: Cross multiply
    176.23x = 263.91 × 115.30
  4. Step 4: Simplify right side
    176.23x = 30,428.82
  5. Step 5: Solve for x
    x = 30,428.82/176.23
  6. Step 6: Final answer
    x = 172.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.