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Finding the Fourth Proportional to 501.11, 751.71 and 193.22

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Solution

The fourth proportional to 501.11, 751.71 and 193.22 is: 289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.11 : 751.71 = 193.22 : x
  2. Step 2: Convert to fraction form
    501.11/751.71 = 193.22/x
  3. Step 3: Cross multiply
    501.11x = 751.71 × 193.22
  4. Step 4: Simplify right side
    501.11x = 145,245.41
  5. Step 5: Solve for x
    x = 145,245.41/501.11
  6. Step 6: Final answer
    x = 289.85

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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.