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Finding the Fourth Proportional to 235.83, 353.44 and 177.60

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Solution

The fourth proportional to 235.83, 353.44 and 177.60 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.83 : 353.44 = 177.60 : x
  2. Step 2: Convert to fraction form
    235.83/353.44 = 177.60/x
  3. Step 3: Cross multiply
    235.83x = 353.44 × 177.60
  4. Step 4: Simplify right side
    235.83x = 62,770.94
  5. Step 5: Solve for x
    x = 62,770.94/235.83
  6. Step 6: Final answer
    x = 266.17

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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.