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Finding the Fourth Proportional to 228.27, 314.95 and 154.67

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Solution

The fourth proportional to 228.27, 314.95 and 154.67 is: 213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.27 : 314.95 = 154.67 : x
  2. Step 2: Convert to fraction form
    228.27/314.95 = 154.67/x
  3. Step 3: Cross multiply
    228.27x = 314.95 × 154.67
  4. Step 4: Simplify right side
    228.27x = 48,713.32
  5. Step 5: Solve for x
    x = 48,713.32/228.27
  6. Step 6: Final answer
    x = 213.40

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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.