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Finding the Fourth Proportional to 187.48, 258.96 and 184.60

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Solution

The fourth proportional to 187.48, 258.96 and 184.60 is: 254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.48 : 258.96 = 184.60 : x
  2. Step 2: Convert to fraction form
    187.48/258.96 = 184.60/x
  3. Step 3: Cross multiply
    187.48x = 258.96 × 184.60
  4. Step 4: Simplify right side
    187.48x = 47,804.02
  5. Step 5: Solve for x
    x = 47,804.02/187.48
  6. Step 6: Final answer
    x = 254.98

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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.