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Finding the Fourth Proportional to 315.21, 435.06 and 184.25

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Solution

The fourth proportional to 315.21, 435.06 and 184.25 is: 254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.21 : 435.06 = 184.25 : x
  2. Step 2: Convert to fraction form
    315.21/435.06 = 184.25/x
  3. Step 3: Cross multiply
    315.21x = 435.06 × 184.25
  4. Step 4: Simplify right side
    315.21x = 80,157.63
  5. Step 5: Solve for x
    x = 80,157.63/315.21
  6. Step 6: Final answer
    x = 254.30

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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.