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Finding the Fourth Proportional to 219.36, 302.52 and 170.16

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Solution

The fourth proportional to 219.36, 302.52 and 170.16 is: 234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.36 : 302.52 = 170.16 : x
  2. Step 2: Convert to fraction form
    219.36/302.52 = 170.16/x
  3. Step 3: Cross multiply
    219.36x = 302.52 × 170.16
  4. Step 4: Simplify right side
    219.36x = 51,476.80
  5. Step 5: Solve for x
    x = 51,476.80/219.36
  6. Step 6: Final answer
    x = 234.67

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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.