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Finding the Fourth Proportional to 176.36, 265.66 and 163.00

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Solution

The fourth proportional to 176.36, 265.66 and 163.00 is: 245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.36 : 265.66 = 163.00 : x
  2. Step 2: Convert to fraction form
    176.36/265.66 = 163.00/x
  3. Step 3: Cross multiply
    176.36x = 265.66 × 163.00
  4. Step 4: Simplify right side
    176.36x = 43,300.44
  5. Step 5: Solve for x
    x = 43,300.44/176.36
  6. Step 6: Final answer
    x = 245.52

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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.