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Finding the Fourth Proportional to 488.76, 733.01 and 142.00

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Solution

The fourth proportional to 488.76, 733.01 and 142.00 is: 212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.76 : 733.01 = 142.00 : x
  2. Step 2: Convert to fraction form
    488.76/733.01 = 142.00/x
  3. Step 3: Cross multiply
    488.76x = 733.01 × 142.00
  4. Step 4: Simplify right side
    488.76x = 104,085.05
  5. Step 5: Solve for x
    x = 104,085.05/488.76
  6. Step 6: Final answer
    x = 212.96

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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.