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Finding the Fourth Proportional to 357.26, 493.10 and 240.75

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Solution

The fourth proportional to 357.26, 493.10 and 240.75 is: 332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.26 : 493.10 = 240.75 : x
  2. Step 2: Convert to fraction form
    357.26/493.10 = 240.75/x
  3. Step 3: Cross multiply
    357.26x = 493.10 × 240.75
  4. Step 4: Simplify right side
    357.26x = 118,712.62
  5. Step 5: Solve for x
    x = 118,712.62/357.26
  6. Step 6: Final answer
    x = 332.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.