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Finding the Fourth Proportional to 219.41, 302.70 and 141.83

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Solution

The fourth proportional to 219.41, 302.70 and 141.83 is: 195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.41 : 302.70 = 141.83 : x
  2. Step 2: Convert to fraction form
    219.41/302.70 = 141.83/x
  3. Step 3: Cross multiply
    219.41x = 302.70 × 141.83
  4. Step 4: Simplify right side
    219.41x = 42,931.94
  5. Step 5: Solve for x
    x = 42,931.94/219.41
  6. Step 6: Final answer
    x = 195.67

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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.