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Finding the Fourth Proportional to 486.51, 729.80 and 161.88

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Solution

The fourth proportional to 486.51, 729.80 and 161.88 is: 242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.51 : 729.80 = 161.88 : x
  2. Step 2: Convert to fraction form
    486.51/729.80 = 161.88/x
  3. Step 3: Cross multiply
    486.51x = 729.80 × 161.88
  4. Step 4: Simplify right side
    486.51x = 118,140.02
  5. Step 5: Solve for x
    x = 118,140.02/486.51
  6. Step 6: Final answer
    x = 242.83

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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.