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Finding the Fourth Proportional to 357.94, 536.55 and 236.26

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Solution

The fourth proportional to 357.94, 536.55 and 236.26 is: 354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.94 : 536.55 = 236.26 : x
  2. Step 2: Convert to fraction form
    357.94/536.55 = 236.26/x
  3. Step 3: Cross multiply
    357.94x = 536.55 × 236.26
  4. Step 4: Simplify right side
    357.94x = 126,765.30
  5. Step 5: Solve for x
    x = 126,765.30/357.94
  6. Step 6: Final answer
    x = 354.15

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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.