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Finding the Fourth Proportional to 219.42, 327.45 and 186.90

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Solution

The fourth proportional to 219.42, 327.45 and 186.90 is: 278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.42 : 327.45 = 186.90 : x
  2. Step 2: Convert to fraction form
    219.42/327.45 = 186.90/x
  3. Step 3: Cross multiply
    219.42x = 327.45 × 186.90
  4. Step 4: Simplify right side
    219.42x = 61,200.41
  5. Step 5: Solve for x
    x = 61,200.41/219.42
  6. Step 6: Final answer
    x = 278.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.