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Finding the Fourth Proportional to 312.15, 430.85 and 218.92

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Solution

The fourth proportional to 312.15, 430.85 and 218.92 is: 302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.15 : 430.85 = 218.92 : x
  2. Step 2: Convert to fraction form
    312.15/430.85 = 218.92/x
  3. Step 3: Cross multiply
    312.15x = 430.85 × 218.92
  4. Step 4: Simplify right side
    312.15x = 94,321.96
  5. Step 5: Solve for x
    x = 94,321.96/312.15
  6. Step 6: Final answer
    x = 302.17

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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.