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Finding the Fourth Proportional to 235.40, 352.49 and 154.00

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Solution

The fourth proportional to 235.40, 352.49 and 154.00 is: 230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.40 : 352.49 = 154.00 : x
  2. Step 2: Convert to fraction form
    235.40/352.49 = 154.00/x
  3. Step 3: Cross multiply
    235.40x = 352.49 × 154.00
  4. Step 4: Simplify right side
    235.40x = 54,281.70
  5. Step 5: Solve for x
    x = 54,281.70/235.40
  6. Step 6: Final answer
    x = 230.59

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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.