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Finding the Fourth Proportional to 262.11, 392.90 and 180.93

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Solution

The fourth proportional to 262.11, 392.90 and 180.93 is: 271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.11 : 392.90 = 180.93 : x
  2. Step 2: Convert to fraction form
    262.11/392.90 = 180.93/x
  3. Step 3: Cross multiply
    262.11x = 392.90 × 180.93
  4. Step 4: Simplify right side
    262.11x = 71,086.49
  5. Step 5: Solve for x
    x = 71,086.49/262.11
  6. Step 6: Final answer
    x = 271.21

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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.