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Finding the Fourth Proportional to 253.69, 380.50 and 116.53

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Solution

The fourth proportional to 253.69, 380.50 and 116.53 is: 174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.69 : 380.50 = 116.53 : x
  2. Step 2: Convert to fraction form
    253.69/380.50 = 116.53/x
  3. Step 3: Cross multiply
    253.69x = 380.50 × 116.53
  4. Step 4: Simplify right side
    253.69x = 44,338.42
  5. Step 5: Solve for x
    x = 44,338.42/253.69
  6. Step 6: Final answer
    x = 174.78

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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.