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Finding the Fourth Proportional to 219.96, 303.57 and 132.66

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Solution

The fourth proportional to 219.96, 303.57 and 132.66 is: 183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.96 : 303.57 = 132.66 : x
  2. Step 2: Convert to fraction form
    219.96/303.57 = 132.66/x
  3. Step 3: Cross multiply
    219.96x = 303.57 × 132.66
  4. Step 4: Simplify right side
    219.96x = 40,271.60
  5. Step 5: Solve for x
    x = 40,271.60/219.96
  6. Step 6: Final answer
    x = 183.09

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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.