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Finding the Fourth Proportional to 501.62, 752.22 and 193.41

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Solution

The fourth proportional to 501.62, 752.22 and 193.41 is: 290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.62 : 752.22 = 193.41 : x
  2. Step 2: Convert to fraction form
    501.62/752.22 = 193.41/x
  3. Step 3: Cross multiply
    501.62x = 752.22 × 193.41
  4. Step 4: Simplify right side
    501.62x = 145,486.87
  5. Step 5: Solve for x
    x = 145,486.87/501.62
  6. Step 6: Final answer
    x = 290.04

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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.