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Finding the Fourth Proportional to 187.44, 258.48 and 165.60

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Solution

The fourth proportional to 187.44, 258.48 and 165.60 is: 228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.44 : 258.48 = 165.60 : x
  2. Step 2: Convert to fraction form
    187.44/258.48 = 165.60/x
  3. Step 3: Cross multiply
    187.44x = 258.48 × 165.60
  4. Step 4: Simplify right side
    187.44x = 42,804.29
  5. Step 5: Solve for x
    x = 42,804.29/187.44
  6. Step 6: Final answer
    x = 228.36

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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.