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Finding the Fourth Proportional to 187.64, 258.99 and 135.16

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Solution

The fourth proportional to 187.64, 258.99 and 135.16 is: 186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.64 : 258.99 = 135.16 : x
  2. Step 2: Convert to fraction form
    187.64/258.99 = 135.16/x
  3. Step 3: Cross multiply
    187.64x = 258.99 × 135.16
  4. Step 4: Simplify right side
    187.64x = 35,005.09
  5. Step 5: Solve for x
    x = 35,005.09/187.64
  6. Step 6: Final answer
    x = 186.55

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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.