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Finding the Fourth Proportional to 318.09, 438.93 and 178.22

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Solution

The fourth proportional to 318.09, 438.93 and 178.22 is: 245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.09 : 438.93 = 178.22 : x
  2. Step 2: Convert to fraction form
    318.09/438.93 = 178.22/x
  3. Step 3: Cross multiply
    318.09x = 438.93 × 178.22
  4. Step 4: Simplify right side
    318.09x = 78,223.91
  5. Step 5: Solve for x
    x = 78,223.91/318.09
  6. Step 6: Final answer
    x = 245.92

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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.