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Finding the Fourth Proportional to 187.22, 257.30 and 166.38

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Solution

The fourth proportional to 187.22, 257.30 and 166.38 is: 228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.22 : 257.30 = 166.38 : x
  2. Step 2: Convert to fraction form
    187.22/257.30 = 166.38/x
  3. Step 3: Cross multiply
    187.22x = 257.30 × 166.38
  4. Step 4: Simplify right side
    187.22x = 42,809.57
  5. Step 5: Solve for x
    x = 42,809.57/187.22
  6. Step 6: Final answer
    x = 228.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.