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Finding the Fourth Proportional to 253.49, 379.71 and 188.55

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Solution

The fourth proportional to 253.49, 379.71 and 188.55 is: 282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.49 : 379.71 = 188.55 : x
  2. Step 2: Convert to fraction form
    253.49/379.71 = 188.55/x
  3. Step 3: Cross multiply
    253.49x = 379.71 × 188.55
  4. Step 4: Simplify right side
    253.49x = 71,594.32
  5. Step 5: Solve for x
    x = 71,594.32/253.49
  6. Step 6: Final answer
    x = 282.44

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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.