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Finding the Fourth Proportional to 254.92, 380.72 and 203.64

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Solution

The fourth proportional to 254.92, 380.72 and 203.64 is: 304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.92 : 380.72 = 203.64 : x
  2. Step 2: Convert to fraction form
    254.92/380.72 = 203.64/x
  3. Step 3: Cross multiply
    254.92x = 380.72 × 203.64
  4. Step 4: Simplify right side
    254.92x = 77,529.82
  5. Step 5: Solve for x
    x = 77,529.82/254.92
  6. Step 6: Final answer
    x = 304.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.