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Finding the Fourth Proportional to 253.63, 380.07 and 204.64

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Solution

The fourth proportional to 253.63, 380.07 and 204.64 is: 306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.63 : 380.07 = 204.64 : x
  2. Step 2: Convert to fraction form
    253.63/380.07 = 204.64/x
  3. Step 3: Cross multiply
    253.63x = 380.07 × 204.64
  4. Step 4: Simplify right side
    253.63x = 77,777.52
  5. Step 5: Solve for x
    x = 77,777.52/253.63
  6. Step 6: Final answer
    x = 306.66

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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.