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Finding the Fourth Proportional to 174.14, 259.69 and 164.56

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Solution

The fourth proportional to 174.14, 259.69 and 164.56 is: 245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.14 : 259.69 = 164.56 : x
  2. Step 2: Convert to fraction form
    174.14/259.69 = 164.56/x
  3. Step 3: Cross multiply
    174.14x = 259.69 × 164.56
  4. Step 4: Simplify right side
    174.14x = 42,734.59
  5. Step 5: Solve for x
    x = 42,734.59/174.14
  6. Step 6: Final answer
    x = 245.40

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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.