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Finding the Fourth Proportional to 176.40, 263.98 and 111.36

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Solution

The fourth proportional to 176.40, 263.98 and 111.36 is: 166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.40 : 263.98 = 111.36 : x
  2. Step 2: Convert to fraction form
    176.40/263.98 = 111.36/x
  3. Step 3: Cross multiply
    176.40x = 263.98 × 111.36
  4. Step 4: Simplify right side
    176.40x = 29,396.81
  5. Step 5: Solve for x
    x = 29,396.81/176.40
  6. Step 6: Final answer
    x = 166.65

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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.