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Finding the Fourth Proportional to 486.40, 729.60 and 161.77

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Solution

The fourth proportional to 486.40, 729.60 and 161.77 is: 242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.40 : 729.60 = 161.77 : x
  2. Step 2: Convert to fraction form
    486.40/729.60 = 161.77/x
  3. Step 3: Cross multiply
    486.40x = 729.60 × 161.77
  4. Step 4: Simplify right side
    486.40x = 118,027.39
  5. Step 5: Solve for x
    x = 118,027.39/486.40
  6. Step 6: Final answer
    x = 242.66

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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.