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Finding the Fourth Proportional to 177.24, 264.58 and 164.54

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Solution

The fourth proportional to 177.24, 264.58 and 164.54 is: 245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.24 : 264.58 = 164.54 : x
  2. Step 2: Convert to fraction form
    177.24/264.58 = 164.54/x
  3. Step 3: Cross multiply
    177.24x = 264.58 × 164.54
  4. Step 4: Simplify right side
    177.24x = 43,533.99
  5. Step 5: Solve for x
    x = 43,533.99/177.24
  6. Step 6: Final answer
    x = 245.62

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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.