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Finding the Fourth Proportional to 484, 726 and 142

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Solution

The fourth proportional to 484, 726 and 142 is: 213

Step by Step Solution

  1. Step 1: Write the proportion equation
    484 : 726 = 142 : x
  2. Step 2: Convert to fraction form
    484/726 = 142/x
  3. Step 3: Cross multiply
    484x = 726 × 142
  4. Step 4: Simplify right side
    484x = 103,092
  5. Step 5: Solve for x
    x = 103,092/484
  6. Step 6: Final answer
    x = 213

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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.