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Finding the Fourth Proportional to 280.07, 386.34 and 186.79

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Solution

The fourth proportional to 280.07, 386.34 and 186.79 is: 257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.07 : 386.34 = 186.79 : x
  2. Step 2: Convert to fraction form
    280.07/386.34 = 186.79/x
  3. Step 3: Cross multiply
    280.07x = 386.34 × 186.79
  4. Step 4: Simplify right side
    280.07x = 72,164.45
  5. Step 5: Solve for x
    x = 72,164.45/280.07
  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.