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Finding the Fourth Proportional to 253.80, 380.57 and 116.84

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Solution

The fourth proportional to 253.80, 380.57 and 116.84 is: 175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.80 : 380.57 = 116.84 : x
  2. Step 2: Convert to fraction form
    253.80/380.57 = 116.84/x
  3. Step 3: Cross multiply
    253.80x = 380.57 × 116.84
  4. Step 4: Simplify right side
    253.80x = 44,466.17
  5. Step 5: Solve for x
    x = 44,466.17/253.80
  6. Step 6: Final answer
    x = 175.20

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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.