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Finding the Fourth Proportional to 228.15, 314.71 and 165.05

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Solution

The fourth proportional to 228.15, 314.71 and 165.05 is: 227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.15 : 314.71 = 165.05 : x
  2. Step 2: Convert to fraction form
    228.15/314.71 = 165.05/x
  3. Step 3: Cross multiply
    228.15x = 314.71 × 165.05
  4. Step 4: Simplify right side
    228.15x = 51,942.99
  5. Step 5: Solve for x
    x = 51,942.99/228.15
  6. Step 6: Final answer
    x = 227.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.