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Finding the Fourth Proportional to 317.94, 438.78 and 201.50

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Solution

The fourth proportional to 317.94, 438.78 and 201.50 is: 278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.94 : 438.78 = 201.50 : x
  2. Step 2: Convert to fraction form
    317.94/438.78 = 201.50/x
  3. Step 3: Cross multiply
    317.94x = 438.78 × 201.50
  4. Step 4: Simplify right side
    317.94x = 88,414.17
  5. Step 5: Solve for x
    x = 88,414.17/317.94
  6. Step 6: Final answer
    x = 278.08

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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.