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Finding the Fourth Proportional to 229.44, 316.72 and 150.82

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Solution

The fourth proportional to 229.44, 316.72 and 150.82 is: 208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.44 : 316.72 = 150.82 : x
  2. Step 2: Convert to fraction form
    229.44/316.72 = 150.82/x
  3. Step 3: Cross multiply
    229.44x = 316.72 × 150.82
  4. Step 4: Simplify right side
    229.44x = 47,767.71
  5. Step 5: Solve for x
    x = 47,767.71/229.44
  6. Step 6: Final answer
    x = 208.19

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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.