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Finding the Fourth Proportional to 176.23, 265.38 and 153.67

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Solution

The fourth proportional to 176.23, 265.38 and 153.67 is: 231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.23 : 265.38 = 153.67 : x
  2. Step 2: Convert to fraction form
    176.23/265.38 = 153.67/x
  3. Step 3: Cross multiply
    176.23x = 265.38 × 153.67
  4. Step 4: Simplify right side
    176.23x = 40,780.94
  5. Step 5: Solve for x
    x = 40,780.94/176.23
  6. Step 6: Final answer
    x = 231.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.