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Finding the Fourth Proportional to 357.50, 492.59 and 240.86

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Solution

The fourth proportional to 357.50, 492.59 and 240.86 is: 331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.50 : 492.59 = 240.86 : x
  2. Step 2: Convert to fraction form
    357.50/492.59 = 240.86/x
  3. Step 3: Cross multiply
    357.50x = 492.59 × 240.86
  4. Step 4: Simplify right side
    357.50x = 118,645.25
  5. Step 5: Solve for x
    x = 118,645.25/357.50
  6. Step 6: Final answer
    x = 331.87

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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.