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Finding the Fourth Proportional to 256.87, 354.06 and 186.94

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Solution

The fourth proportional to 256.87, 354.06 and 186.94 is: 257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.87 : 354.06 = 186.94 : x
  2. Step 2: Convert to fraction form
    256.87/354.06 = 186.94/x
  3. Step 3: Cross multiply
    256.87x = 354.06 × 186.94
  4. Step 4: Simplify right side
    256.87x = 66,187.98
  5. Step 5: Solve for x
    x = 66,187.98/256.87
  6. Step 6: Final answer
    x = 257.67

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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.