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Finding the Fourth Proportional to 318, 438.83 and 178.14

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Solution

The fourth proportional to 318, 438.83 and 178.14 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    318 : 438.83 = 178.14 : x
  2. Step 2: Convert to fraction form
    318/438.83 = 178.14/x
  3. Step 3: Cross multiply
    318x = 438.83 × 178.14
  4. Step 4: Simplify right side
    318x = 78,172.29
  5. Step 5: Solve for x
    x = 78,172.29/318
  6. Step 6: Final answer
    x = 245.82

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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.