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Finding the Fourth Proportional to 230.94, 316.65 and 224.10

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Solution

The fourth proportional to 230.94, 316.65 and 224.10 is: 307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.94 : 316.65 = 224.10 : x
  2. Step 2: Convert to fraction form
    230.94/316.65 = 224.10/x
  3. Step 3: Cross multiply
    230.94x = 316.65 × 224.10
  4. Step 4: Simplify right side
    230.94x = 70,961.27
  5. Step 5: Solve for x
    x = 70,961.27/230.94
  6. Step 6: Final answer
    x = 307.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.