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Finding the Fourth Proportional to 292.76, 438.22 and 200.92

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Solution

The fourth proportional to 292.76, 438.22 and 200.92 is: 300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.76 : 438.22 = 200.92 : x
  2. Step 2: Convert to fraction form
    292.76/438.22 = 200.92/x
  3. Step 3: Cross multiply
    292.76x = 438.22 × 200.92
  4. Step 4: Simplify right side
    292.76x = 88,047.16
  5. Step 5: Solve for x
    x = 88,047.16/292.76
  6. Step 6: Final answer
    x = 300.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.