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Finding the Fourth Proportional to 229.70, 344.64 and 120.08

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Solution

The fourth proportional to 229.70, 344.64 and 120.08 is: 180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.70 : 344.64 = 120.08 : x
  2. Step 2: Convert to fraction form
    229.70/344.64 = 120.08/x
  3. Step 3: Cross multiply
    229.70x = 344.64 × 120.08
  4. Step 4: Simplify right side
    229.70x = 41,384.37
  5. Step 5: Solve for x
    x = 41,384.37/229.70
  6. Step 6: Final answer
    x = 180.17

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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.