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Finding the Fourth Proportional to 228.52, 314.36 and 200.38

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Solution

The fourth proportional to 228.52, 314.36 and 200.38 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.52 : 314.36 = 200.38 : x
  2. Step 2: Convert to fraction form
    228.52/314.36 = 200.38/x
  3. Step 3: Cross multiply
    228.52x = 314.36 × 200.38
  4. Step 4: Simplify right side
    228.52x = 62,991.11
  5. Step 5: Solve for x
    x = 62,991.11/228.52
  6. Step 6: Final answer
    x = 275.65

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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.