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Finding the Fourth Proportional to 318.10, 438.74 and 207.64

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Solution

The fourth proportional to 318.10, 438.74 and 207.64 is: 286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.10 : 438.74 = 207.64 : x
  2. Step 2: Convert to fraction form
    318.10/438.74 = 207.64/x
  3. Step 3: Cross multiply
    318.10x = 438.74 × 207.64
  4. Step 4: Simplify right side
    318.10x = 91,099.97
  5. Step 5: Solve for x
    x = 91,099.97/318.10
  6. Step 6: Final answer
    x = 286.39

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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.