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Finding the Fourth Proportional to 298.96, 412.29 and 186.84

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Solution

The fourth proportional to 298.96, 412.29 and 186.84 is: 257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.96 : 412.29 = 186.84 : x
  2. Step 2: Convert to fraction form
    298.96/412.29 = 186.84/x
  3. Step 3: Cross multiply
    298.96x = 412.29 × 186.84
  4. Step 4: Simplify right side
    298.96x = 77,032.26
  5. Step 5: Solve for x
    x = 77,032.26/298.96
  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.