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Finding the Fourth Proportional to 253.98, 380.60 and 188.68

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Solution

The fourth proportional to 253.98, 380.60 and 188.68 is: 282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.98 : 380.60 = 188.68 : x
  2. Step 2: Convert to fraction form
    253.98/380.60 = 188.68/x
  3. Step 3: Cross multiply
    253.98x = 380.60 × 188.68
  4. Step 4: Simplify right side
    253.98x = 71,811.61
  5. Step 5: Solve for x
    x = 71,811.61/253.98
  6. Step 6: Final answer
    x = 282.75

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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.