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Finding the Fourth Proportional to 486.81, 729.81 and 162

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Solution

The fourth proportional to 486.81, 729.81 and 162 is: 242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.81 : 729.81 = 162 : x
  2. Step 2: Convert to fraction form
    486.81/729.81 = 162/x
  3. Step 3: Cross multiply
    486.81x = 729.81 × 162
  4. Step 4: Simplify right side
    486.81x = 118,229.22
  5. Step 5: Solve for x
    x = 118,229.22/486.81
  6. Step 6: Final answer
    x = 242.87

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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.