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Finding the Fourth Proportional to 317.95, 438.86 and 185.21

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Solution

The fourth proportional to 317.95, 438.86 and 185.21 is: 255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.95 : 438.86 = 185.21 : x
  2. Step 2: Convert to fraction form
    317.95/438.86 = 185.21/x
  3. Step 3: Cross multiply
    317.95x = 438.86 × 185.21
  4. Step 4: Simplify right side
    317.95x = 81,279.53
  5. Step 5: Solve for x
    x = 81,279.53/317.95
  6. Step 6: Final answer
    x = 255.64

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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.