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Finding the Fourth Proportional to 317.52, 438.24 and 201

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Solution

The fourth proportional to 317.52, 438.24 and 201 is: 277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.52 : 438.24 = 201 : x
  2. Step 2: Convert to fraction form
    317.52/438.24 = 201/x
  3. Step 3: Cross multiply
    317.52x = 438.24 × 201
  4. Step 4: Simplify right side
    317.52x = 88,086.24
  5. Step 5: Solve for x
    x = 88,086.24/317.52
  6. Step 6: Final answer
    x = 277.42

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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.