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Finding the Fourth Proportional to 247.50, 340.74 and 219.76

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Solution

The fourth proportional to 247.50, 340.74 and 219.76 is: 302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.50 : 340.74 = 219.76 : x
  2. Step 2: Convert to fraction form
    247.50/340.74 = 219.76/x
  3. Step 3: Cross multiply
    247.50x = 340.74 × 219.76
  4. Step 4: Simplify right side
    247.50x = 74,880.17
  5. Step 5: Solve for x
    x = 74,880.17/247.50
  6. Step 6: Final answer
    x = 302.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.