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Finding the Fourth Proportional to 219.30, 302.28 and 180

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Solution

The fourth proportional to 219.30, 302.28 and 180 is: 248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.30 : 302.28 = 180 : x
  2. Step 2: Convert to fraction form
    219.30/302.28 = 180/x
  3. Step 3: Cross multiply
    219.30x = 302.28 × 180
  4. Step 4: Simplify right side
    219.30x = 54,410.40
  5. Step 5: Solve for x
    x = 54,410.40/219.30
  6. Step 6: Final answer
    x = 248.11

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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.