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Finding the Fourth Proportional to 229.24, 316.26 and 130.96

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Solution

The fourth proportional to 229.24, 316.26 and 130.96 is: 180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.24 : 316.26 = 130.96 : x
  2. Step 2: Convert to fraction form
    229.24/316.26 = 130.96/x
  3. Step 3: Cross multiply
    229.24x = 316.26 × 130.96
  4. Step 4: Simplify right side
    229.24x = 41,417.41
  5. Step 5: Solve for x
    x = 41,417.41/229.24
  6. Step 6: Final answer
    x = 180.67

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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.