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Finding the Fourth Proportional to 187.25, 258.27 and 162.64

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Solution

The fourth proportional to 187.25, 258.27 and 162.64 is: 224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.25 : 258.27 = 162.64 : x
  2. Step 2: Convert to fraction form
    187.25/258.27 = 162.64/x
  3. Step 3: Cross multiply
    187.25x = 258.27 × 162.64
  4. Step 4: Simplify right side
    187.25x = 42,005.66
  5. Step 5: Solve for x
    x = 42,005.66/187.25
  6. Step 6: Final answer
    x = 224.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.