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Finding the Fourth Proportional to 176.34, 263.79 and 111.18

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Solution

The fourth proportional to 176.34, 263.79 and 111.18 is: 166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.34 : 263.79 = 111.18 : x
  2. Step 2: Convert to fraction form
    176.34/263.79 = 111.18/x
  3. Step 3: Cross multiply
    176.34x = 263.79 × 111.18
  4. Step 4: Simplify right side
    176.34x = 29,328.17
  5. Step 5: Solve for x
    x = 29,328.17/176.34
  6. Step 6: Final answer
    x = 166.32

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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.