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Finding the Fourth Proportional to 229.16, 315.44 and 200.00

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Solution

The fourth proportional to 229.16, 315.44 and 200.00 is: 275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.16 : 315.44 = 200.00 : x
  2. Step 2: Convert to fraction form
    229.16/315.44 = 200.00/x
  3. Step 3: Cross multiply
    229.16x = 315.44 × 200.00
  4. Step 4: Simplify right side
    229.16x = 63,085.42
  5. Step 5: Solve for x
    x = 63,085.42/229.16
  6. Step 6: Final answer
    x = 275.30

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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.