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Finding the Fourth Proportional to 254.23, 350.81 and 165.67

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Solution

The fourth proportional to 254.23, 350.81 and 165.67 is: 228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.23 : 350.81 = 165.67 : x
  2. Step 2: Convert to fraction form
    254.23/350.81 = 165.67/x
  3. Step 3: Cross multiply
    254.23x = 350.81 × 165.67
  4. Step 4: Simplify right side
    254.23x = 58,117.86
  5. Step 5: Solve for x
    x = 58,117.86/254.23
  6. Step 6: Final answer
    x = 228.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.