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Finding the Fourth Proportional to 316.96, 474.96 and 188.64

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Solution

The fourth proportional to 316.96, 474.96 and 188.64 is: 282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.96 : 474.96 = 188.64 : x
  2. Step 2: Convert to fraction form
    316.96/474.96 = 188.64/x
  3. Step 3: Cross multiply
    316.96x = 474.96 × 188.64
  4. Step 4: Simplify right side
    316.96x = 89,596.45
  5. Step 5: Solve for x
    x = 89,596.45/316.96
  6. Step 6: Final answer
    x = 282.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.