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Finding the Fourth Proportional to 225.40, 311.09 and 215.14

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Solution

The fourth proportional to 225.40, 311.09 and 215.14 is: 296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.40 : 311.09 = 215.14 : x
  2. Step 2: Convert to fraction form
    225.40/311.09 = 215.14/x
  3. Step 3: Cross multiply
    225.40x = 311.09 × 215.14
  4. Step 4: Simplify right side
    225.40x = 66,925.27
  5. Step 5: Solve for x
    x = 66,925.27/225.40
  6. Step 6: Final answer
    x = 296.92

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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.