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Finding the Fourth Proportional to 488.25, 732.38 and 146.25

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Solution

The fourth proportional to 488.25, 732.38 and 146.25 is: 219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.25 : 732.38 = 146.25 : x
  2. Step 2: Convert to fraction form
    488.25/732.38 = 146.25/x
  3. Step 3: Cross multiply
    488.25x = 732.38 × 146.25
  4. Step 4: Simplify right side
    488.25x = 107,109.84
  5. Step 5: Solve for x
    x = 107,109.84/488.25
  6. Step 6: Final answer
    x = 219.38

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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.