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Finding the Fourth Proportional to 253.52, 380 and 116.66

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Solution

The fourth proportional to 253.52, 380 and 116.66 is: 174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.52 : 380 = 116.66 : x
  2. Step 2: Convert to fraction form
    253.52/380 = 116.66/x
  3. Step 3: Cross multiply
    253.52x = 380 × 116.66
  4. Step 4: Simplify right side
    253.52x = 44,330.80
  5. Step 5: Solve for x
    x = 44,330.80/253.52
  6. Step 6: Final answer
    x = 174.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.