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Finding the Fourth Proportional to 219.51, 328.77 and 180.90

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Solution

The fourth proportional to 219.51, 328.77 and 180.90 is: 270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.51 : 328.77 = 180.90 : x
  2. Step 2: Convert to fraction form
    219.51/328.77 = 180.90/x
  3. Step 3: Cross multiply
    219.51x = 328.77 × 180.90
  4. Step 4: Simplify right side
    219.51x = 59,474.49
  5. Step 5: Solve for x
    x = 59,474.49/219.51
  6. Step 6: Final answer
    x = 270.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.