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Finding the Fourth Proportional to 228.29, 314.38 and 200.64

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Solution

The fourth proportional to 228.29, 314.38 and 200.64 is: 276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.29 : 314.38 = 200.64 : x
  2. Step 2: Convert to fraction form
    228.29/314.38 = 200.64/x
  3. Step 3: Cross multiply
    228.29x = 314.38 × 200.64
  4. Step 4: Simplify right side
    228.29x = 63,078.63
  5. Step 5: Solve for x
    x = 63,078.63/228.29
  6. Step 6: Final answer
    x = 276.32

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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.