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Finding the Fourth Proportional to 219.54, 303 and 157.50

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Solution

The fourth proportional to 219.54, 303 and 157.50 is: 217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.54 : 303 = 157.50 : x
  2. Step 2: Convert to fraction form
    219.54/303 = 157.50/x
  3. Step 3: Cross multiply
    219.54x = 303 × 157.50
  4. Step 4: Simplify right side
    219.54x = 47,722.50
  5. Step 5: Solve for x
    x = 47,722.50/219.54
  6. Step 6: Final answer
    x = 217.37

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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.