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Finding the Fourth Proportional to 174.06, 259.28 and 168.14

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Solution

The fourth proportional to 174.06, 259.28 and 168.14 is: 250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.06 : 259.28 = 168.14 : x
  2. Step 2: Convert to fraction form
    174.06/259.28 = 168.14/x
  3. Step 3: Cross multiply
    174.06x = 259.28 × 168.14
  4. Step 4: Simplify right side
    174.06x = 43,595.34
  5. Step 5: Solve for x
    x = 43,595.34/174.06
  6. Step 6: Final answer
    x = 250.46

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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.