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Finding the Fourth Proportional to 242.55, 334.64 and 205.65

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Solution

The fourth proportional to 242.55, 334.64 and 205.65 is: 283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.55 : 334.64 = 205.65 : x
  2. Step 2: Convert to fraction form
    242.55/334.64 = 205.65/x
  3. Step 3: Cross multiply
    242.55x = 334.64 × 205.65
  4. Step 4: Simplify right side
    242.55x = 68,817.69
  5. Step 5: Solve for x
    x = 68,817.69/242.55
  6. Step 6: Final answer
    x = 283.73

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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.