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Finding the Fourth Proportional to 219.70, 302.97 and 157.42

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Solution

The fourth proportional to 219.70, 302.97 and 157.42 is: 217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.70 : 302.97 = 157.42 : x
  2. Step 2: Convert to fraction form
    219.70/302.97 = 157.42/x
  3. Step 3: Cross multiply
    219.70x = 302.97 × 157.42
  4. Step 4: Simplify right side
    219.70x = 47,693.54
  5. Step 5: Solve for x
    x = 47,693.54/219.70
  6. Step 6: Final answer
    x = 217.08

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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.