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Finding the Fourth Proportional to 312.56, 431.36 and 188.24

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Solution

The fourth proportional to 312.56, 431.36 and 188.24 is: 259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.56 : 431.36 = 188.24 : x
  2. Step 2: Convert to fraction form
    312.56/431.36 = 188.24/x
  3. Step 3: Cross multiply
    312.56x = 431.36 × 188.24
  4. Step 4: Simplify right side
    312.56x = 81,199.21
  5. Step 5: Solve for x
    x = 81,199.21/312.56
  6. Step 6: Final answer
    x = 259.79

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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.