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Finding the Fourth Proportional to 253.79, 379.80 and 188.66

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Solution

The fourth proportional to 253.79, 379.80 and 188.66 is: 282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.79 : 379.80 = 188.66 : x
  2. Step 2: Convert to fraction form
    253.79/379.80 = 188.66/x
  3. Step 3: Cross multiply
    253.79x = 379.80 × 188.66
  4. Step 4: Simplify right side
    253.79x = 71,653.07
  5. Step 5: Solve for x
    x = 71,653.07/253.79
  6. Step 6: Final answer
    x = 282.33

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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.