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Finding the Fourth Proportional to 176.99, 265.28 and 167.67

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Solution

The fourth proportional to 176.99, 265.28 and 167.67 is: 251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.99 : 265.28 = 167.67 : x
  2. Step 2: Convert to fraction form
    176.99/265.28 = 167.67/x
  3. Step 3: Cross multiply
    176.99x = 265.28 × 167.67
  4. Step 4: Simplify right side
    176.99x = 44,478.66
  5. Step 5: Solve for x
    x = 44,478.66/176.99
  6. Step 6: Final answer
    x = 251.31

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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.