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Finding the Fourth Proportional to 187.76, 258.86 and 135.26

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Solution

The fourth proportional to 187.76, 258.86 and 135.26 is: 186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.76 : 258.86 = 135.26 : x
  2. Step 2: Convert to fraction form
    187.76/258.86 = 135.26/x
  3. Step 3: Cross multiply
    187.76x = 258.86 × 135.26
  4. Step 4: Simplify right side
    187.76x = 35,013.40
  5. Step 5: Solve for x
    x = 35,013.40/187.76
  6. Step 6: Final answer
    x = 186.48

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