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Finding the Fourth Proportional to 317.45, 438.07 and 184.68

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Solution

The fourth proportional to 317.45, 438.07 and 184.68 is: 254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.45 : 438.07 = 184.68 : x
  2. Step 2: Convert to fraction form
    317.45/438.07 = 184.68/x
  3. Step 3: Cross multiply
    317.45x = 438.07 × 184.68
  4. Step 4: Simplify right side
    317.45x = 80,899.65
  5. Step 5: Solve for x
    x = 80,899.65/317.45
  6. Step 6: Final answer
    x = 254.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.