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Finding the Fourth Proportional to 262.10, 392.81 and 180.29

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Solution

The fourth proportional to 262.10, 392.81 and 180.29 is: 270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.10 : 392.81 = 180.29 : x
  2. Step 2: Convert to fraction form
    262.10/392.81 = 180.29/x
  3. Step 3: Cross multiply
    262.10x = 392.81 × 180.29
  4. Step 4: Simplify right side
    262.10x = 70,819.71
  5. Step 5: Solve for x
    x = 70,819.71/262.10
  6. Step 6: Final answer
    x = 270.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.