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Finding the Fourth Proportional to 257.96, 356.20 and 199.64

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Solution

The fourth proportional to 257.96, 356.20 and 199.64 is: 275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.96 : 356.20 = 199.64 : x
  2. Step 2: Convert to fraction form
    257.96/356.20 = 199.64/x
  3. Step 3: Cross multiply
    257.96x = 356.20 × 199.64
  4. Step 4: Simplify right side
    257.96x = 71,111.77
  5. Step 5: Solve for x
    x = 71,111.77/257.96
  6. Step 6: Final answer
    x = 275.67

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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.