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Finding the Fourth Proportional to 274.51, 411.16 and 137.31

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Solution

The fourth proportional to 274.51, 411.16 and 137.31 is: 205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.51 : 411.16 = 137.31 : x
  2. Step 2: Convert to fraction form
    274.51/411.16 = 137.31/x
  3. Step 3: Cross multiply
    274.51x = 411.16 × 137.31
  4. Step 4: Simplify right side
    274.51x = 56,457.06
  5. Step 5: Solve for x
    x = 56,457.06/274.51
  6. Step 6: Final answer
    x = 205.67

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Why These Related Problems?

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