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Finding the Fourth Proportional to 262.40, 362.04 and 204.08

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Solution

The fourth proportional to 262.40, 362.04 and 204.08 is: 281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.40 : 362.04 = 204.08 : x
  2. Step 2: Convert to fraction form
    262.40/362.04 = 204.08/x
  3. Step 3: Cross multiply
    262.40x = 362.04 × 204.08
  4. Step 4: Simplify right side
    262.40x = 73,885.12
  5. Step 5: Solve for x
    x = 73,885.12/262.40
  6. Step 6: Final answer
    x = 281.57

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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.