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Finding the Fourth Proportional to 253.49, 380.02 and 116.49

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Solution

The fourth proportional to 253.49, 380.02 and 116.49 is: 174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.49 : 380.02 = 116.49 : x
  2. Step 2: Convert to fraction form
    253.49/380.02 = 116.49/x
  3. Step 3: Cross multiply
    253.49x = 380.02 × 116.49
  4. Step 4: Simplify right side
    253.49x = 44,268.53
  5. Step 5: Solve for x
    x = 44,268.53/253.49
  6. Step 6: Final answer
    x = 174.64

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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.