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Finding the Fourth Proportional to 187.86, 258.89 and 135.30

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Solution

The fourth proportional to 187.86, 258.89 and 135.30 is: 186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.86 : 258.89 = 135.30 : x
  2. Step 2: Convert to fraction form
    187.86/258.89 = 135.30/x
  3. Step 3: Cross multiply
    187.86x = 258.89 × 135.30
  4. Step 4: Simplify right side
    187.86x = 35,027.82
  5. Step 5: Solve for x
    x = 35,027.82/187.86
  6. Step 6: Final answer
    x = 186.46

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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.