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Finding the Fourth Proportional to 486.96, 730.32 and 178.80

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Solution

The fourth proportional to 486.96, 730.32 and 178.80 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.96 : 730.32 = 178.80 : x
  2. Step 2: Convert to fraction form
    486.96/730.32 = 178.80/x
  3. Step 3: Cross multiply
    486.96x = 730.32 × 178.80
  4. Step 4: Simplify right side
    486.96x = 130,581.22
  5. Step 5: Solve for x
    x = 130,581.22/486.96
  6. Step 6: Final answer
    x = 268.16

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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.