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Finding the Fourth Proportional to 317.93, 438.79 and 185.19

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Solution

The fourth proportional to 317.93, 438.79 and 185.19 is: 255.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.93 : 438.79 = 185.19 : x
  2. Step 2: Convert to fraction form
    317.93/438.79 = 185.19/x
  3. Step 3: Cross multiply
    317.93x = 438.79 × 185.19
  4. Step 4: Simplify right side
    317.93x = 81,261.05
  5. Step 5: Solve for x
    x = 81,261.05/317.93
  6. Step 6: Final answer
    x = 255.60

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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.