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Finding the Fourth Proportional to 229.16, 315.43 and 200

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Solution

The fourth proportional to 229.16, 315.43 and 200 is: 275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.16 : 315.43 = 200 : x
  2. Step 2: Convert to fraction form
    229.16/315.43 = 200/x
  3. Step 3: Cross multiply
    229.16x = 315.43 × 200
  4. Step 4: Simplify right side
    229.16x = 63,086
  5. Step 5: Solve for x
    x = 63,086/229.16
  6. Step 6: Final answer
    x = 275.29

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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.