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Finding the Fourth Proportional to 488.16, 732.42 and 180.12

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Solution

The fourth proportional to 488.16, 732.42 and 180.12 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.16 : 732.42 = 180.12 : x
  2. Step 2: Convert to fraction form
    488.16/732.42 = 180.12/x
  3. Step 3: Cross multiply
    488.16x = 732.42 × 180.12
  4. Step 4: Simplify right side
    488.16x = 131,923.49
  5. Step 5: Solve for x
    x = 131,923.49/488.16
  6. Step 6: Final answer
    x = 270.25

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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.