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Finding the Fourth Proportional to 219.85, 303.26 and 132.50

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Solution

The fourth proportional to 219.85, 303.26 and 132.50 is: 182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.85 : 303.26 = 132.50 : x
  2. Step 2: Convert to fraction form
    219.85/303.26 = 132.50/x
  3. Step 3: Cross multiply
    219.85x = 303.26 × 132.50
  4. Step 4: Simplify right side
    219.85x = 40,181.29
  5. Step 5: Solve for x
    x = 40,181.29/219.85
  6. Step 6: Final answer
    x = 182.77

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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.