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Finding the Fourth Proportional to 235.53, 353.45 and 177.82

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Solution

The fourth proportional to 235.53, 353.45 and 177.82 is: 266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.53 : 353.45 = 177.82 : x
  2. Step 2: Convert to fraction form
    235.53/353.45 = 177.82/x
  3. Step 3: Cross multiply
    235.53x = 353.45 × 177.82
  4. Step 4: Simplify right side
    235.53x = 62,850.04
  5. Step 5: Solve for x
    x = 62,850.04/235.53
  6. Step 6: Final answer
    x = 266.85

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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.