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Finding the Fourth Proportional to 228.70, 315.21 and 154.99

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Solution

The fourth proportional to 228.70, 315.21 and 154.99 is: 213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.70 : 315.21 = 154.99 : x
  2. Step 2: Convert to fraction form
    228.70/315.21 = 154.99/x
  3. Step 3: Cross multiply
    228.70x = 315.21 × 154.99
  4. Step 4: Simplify right side
    228.70x = 48,854.40
  5. Step 5: Solve for x
    x = 48,854.40/228.70
  6. Step 6: Final answer
    x = 213.62

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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.