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Finding the Fourth Proportional to 219.53, 302.94 and 132.23

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Solution

The fourth proportional to 219.53, 302.94 and 132.23 is: 182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.53 : 302.94 = 132.23 : x
  2. Step 2: Convert to fraction form
    219.53/302.94 = 132.23/x
  3. Step 3: Cross multiply
    219.53x = 302.94 × 132.23
  4. Step 4: Simplify right side
    219.53x = 40,056.24
  5. Step 5: Solve for x
    x = 40,056.24/219.53
  6. Step 6: Final answer
    x = 182.47

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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.