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Finding the Fourth Proportional to 310.95, 428.96 and 184.93

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Solution

The fourth proportional to 310.95, 428.96 and 184.93 is: 255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.95 : 428.96 = 184.93 : x
  2. Step 2: Convert to fraction form
    310.95/428.96 = 184.93/x
  3. Step 3: Cross multiply
    310.95x = 428.96 × 184.93
  4. Step 4: Simplify right side
    310.95x = 79,326.96
  5. Step 5: Solve for x
    x = 79,326.96/310.95
  6. Step 6: Final answer
    x = 255.11

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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.