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Finding the Fourth Proportional to 229.59, 316.59 and 180.45

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Solution

The fourth proportional to 229.59, 316.59 and 180.45 is: 248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.59 : 316.59 = 180.45 : x
  2. Step 2: Convert to fraction form
    229.59/316.59 = 180.45/x
  3. Step 3: Cross multiply
    229.59x = 316.59 × 180.45
  4. Step 4: Simplify right side
    229.59x = 57,128.67
  5. Step 5: Solve for x
    x = 57,128.67/229.59
  6. Step 6: Final answer
    x = 248.83

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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.