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Finding the Fourth Proportional to 488.14, 732.22 and 146.14

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Solution

The fourth proportional to 488.14, 732.22 and 146.14 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.14 : 732.22 = 146.14 : x
  2. Step 2: Convert to fraction form
    488.14/732.22 = 146.14/x
  3. Step 3: Cross multiply
    488.14x = 732.22 × 146.14
  4. Step 4: Simplify right side
    488.14x = 107,006.63
  5. Step 5: Solve for x
    x = 107,006.63/488.14
  6. Step 6: Final answer
    x = 219.21

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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.