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Finding the Fourth Proportional to 220.95, 304.52 and 165.67

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Solution

The fourth proportional to 220.95, 304.52 and 165.67 is: 228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.95 : 304.52 = 165.67 : x
  2. Step 2: Convert to fraction form
    220.95/304.52 = 165.67/x
  3. Step 3: Cross multiply
    220.95x = 304.52 × 165.67
  4. Step 4: Simplify right side
    220.95x = 50,448.24
  5. Step 5: Solve for x
    x = 50,448.24/220.95
  6. Step 6: Final answer
    x = 228.32

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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.