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Finding the Fourth Proportional to 204.96, 283.12 and 175.84

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Solution

The fourth proportional to 204.96, 283.12 and 175.84 is: 242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.96 : 283.12 = 175.84 : x
  2. Step 2: Convert to fraction form
    204.96/283.12 = 175.84/x
  3. Step 3: Cross multiply
    204.96x = 283.12 × 175.84
  4. Step 4: Simplify right side
    204.96x = 49,783.82
  5. Step 5: Solve for x
    x = 49,783.82/204.96
  6. Step 6: Final answer
    x = 242.90

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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.