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Finding the Fourth Proportional to 204.67, 305.70 and 175.86

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Solution

The fourth proportional to 204.67, 305.70 and 175.86 is: 262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.67 : 305.70 = 175.86 : x
  2. Step 2: Convert to fraction form
    204.67/305.70 = 175.86/x
  3. Step 3: Cross multiply
    204.67x = 305.70 × 175.86
  4. Step 4: Simplify right side
    204.67x = 53,760.40
  5. Step 5: Solve for x
    x = 53,760.40/204.67
  6. Step 6: Final answer
    x = 262.67

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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.