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Finding the Fourth Proportional to 501.41, 751.97 and 193.19

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Solution

The fourth proportional to 501.41, 751.97 and 193.19 is: 289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.41 : 751.97 = 193.19 : x
  2. Step 2: Convert to fraction form
    501.41/751.97 = 193.19/x
  3. Step 3: Cross multiply
    501.41x = 751.97 × 193.19
  4. Step 4: Simplify right side
    501.41x = 145,269.81
  5. Step 5: Solve for x
    x = 145,269.81/501.41
  6. Step 6: Final answer
    x = 289.72

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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.