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Finding the Fourth Proportional to 229.60, 316.38 and 180.46

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Solution

The fourth proportional to 229.60, 316.38 and 180.46 is: 248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.60 : 316.38 = 180.46 : x
  2. Step 2: Convert to fraction form
    229.60/316.38 = 180.46/x
  3. Step 3: Cross multiply
    229.60x = 316.38 × 180.46
  4. Step 4: Simplify right side
    229.60x = 57,093.93
  5. Step 5: Solve for x
    x = 57,093.93/229.60
  6. Step 6: Final answer
    x = 248.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.