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Finding the Fourth Proportional to 315.89, 435.92 and 184.89

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Solution

The fourth proportional to 315.89, 435.92 and 184.89 is: 255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.89 : 435.92 = 184.89 : x
  2. Step 2: Convert to fraction form
    315.89/435.92 = 184.89/x
  3. Step 3: Cross multiply
    315.89x = 435.92 × 184.89
  4. Step 4: Simplify right side
    315.89x = 80,597.96
  5. Step 5: Solve for x
    x = 80,597.96/315.89
  6. Step 6: Final answer
    x = 255.15

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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.