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Finding the Fourth Proportional to 176.82, 263.93 and 164.14

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Solution

The fourth proportional to 176.82, 263.93 and 164.14 is: 245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.82 : 263.93 = 164.14 : x
  2. Step 2: Convert to fraction form
    176.82/263.93 = 164.14/x
  3. Step 3: Cross multiply
    176.82x = 263.93 × 164.14
  4. Step 4: Simplify right side
    176.82x = 43,321.47
  5. Step 5: Solve for x
    x = 43,321.47/176.82
  6. Step 6: Final answer
    x = 245.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.