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Finding the Fourth Proportional to 333.84, 501 and 151.44

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Solution

The fourth proportional to 333.84, 501 and 151.44 is: 227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 501 = 151.44 : x
  2. Step 2: Convert to fraction form
    333.84/501 = 151.44/x
  3. Step 3: Cross multiply
    333.84x = 501 × 151.44
  4. Step 4: Simplify right side
    333.84x = 75,871.44
  5. Step 5: Solve for x
    x = 75,871.44/333.84
  6. Step 6: Final answer
    x = 227.27

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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.