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Finding the Fourth Proportional to 176.64, 264.84 and 111.60

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Solution

The fourth proportional to 176.64, 264.84 and 111.60 is: 167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.64 : 264.84 = 111.60 : x
  2. Step 2: Convert to fraction form
    176.64/264.84 = 111.60/x
  3. Step 3: Cross multiply
    176.64x = 264.84 × 111.60
  4. Step 4: Simplify right side
    176.64x = 29,556.14
  5. Step 5: Solve for x
    x = 29,556.14/176.64
  6. Step 6: Final answer
    x = 167.32

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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.