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Finding the Fourth Proportional to 486.36, 729.32 and 178.01

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Solution

The fourth proportional to 486.36, 729.32 and 178.01 is: 266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.36 : 729.32 = 178.01 : x
  2. Step 2: Convert to fraction form
    486.36/729.32 = 178.01/x
  3. Step 3: Cross multiply
    486.36x = 729.32 × 178.01
  4. Step 4: Simplify right side
    486.36x = 129,821.72
  5. Step 5: Solve for x
    x = 129,821.72/486.36
  6. Step 6: Final answer
    x = 266.93

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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.