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Finding the Fourth Proportional to 219.60, 302.94 and 180.36

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Solution

The fourth proportional to 219.60, 302.94 and 180.36 is: 248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.60 : 302.94 = 180.36 : x
  2. Step 2: Convert to fraction form
    219.60/302.94 = 180.36/x
  3. Step 3: Cross multiply
    219.60x = 302.94 × 180.36
  4. Step 4: Simplify right side
    219.60x = 54,638.26
  5. Step 5: Solve for x
    x = 54,638.26/219.60
  6. Step 6: Final answer
    x = 248.81

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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.