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Finding the Fourth Proportional to 501.39, 751.68 and 193.19

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Solution

The fourth proportional to 501.39, 751.68 and 193.19 is: 289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.39 : 751.68 = 193.19 : x
  2. Step 2: Convert to fraction form
    501.39/751.68 = 193.19/x
  3. Step 3: Cross multiply
    501.39x = 751.68 × 193.19
  4. Step 4: Simplify right side
    501.39x = 145,213.30
  5. Step 5: Solve for x
    x = 145,213.30/501.39
  6. Step 6: Final answer
    x = 289.62

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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.