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Finding the Fourth Proportional to 219.44, 302.04 and 160.32

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Solution

The fourth proportional to 219.44, 302.04 and 160.32 is: 220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.44 : 302.04 = 160.32 : x
  2. Step 2: Convert to fraction form
    219.44/302.04 = 160.32/x
  3. Step 3: Cross multiply
    219.44x = 302.04 × 160.32
  4. Step 4: Simplify right side
    219.44x = 48,423.05
  5. Step 5: Solve for x
    x = 48,423.05/219.44
  6. Step 6: Final answer
    x = 220.67

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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.