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Finding the Fourth Proportional to 317.94, 438.75 and 185.10

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Solution

The fourth proportional to 317.94, 438.75 and 185.10 is: 255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.94 : 438.75 = 185.10 : x
  2. Step 2: Convert to fraction form
    317.94/438.75 = 185.10/x
  3. Step 3: Cross multiply
    317.94x = 438.75 × 185.10
  4. Step 4: Simplify right side
    317.94x = 81,212.63
  5. Step 5: Solve for x
    x = 81,212.63/317.94
  6. Step 6: Final answer
    x = 255.43

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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.