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Finding the Fourth Proportional to 317.64, 438.31 and 184.83

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Solution

The fourth proportional to 317.64, 438.31 and 184.83 is: 255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.64 : 438.31 = 184.83 : x
  2. Step 2: Convert to fraction form
    317.64/438.31 = 184.83/x
  3. Step 3: Cross multiply
    317.64x = 438.31 × 184.83
  4. Step 4: Simplify right side
    317.64x = 81,012.84
  5. Step 5: Solve for x
    x = 81,012.84/317.64
  6. Step 6: Final answer
    x = 255.05

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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.