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Finding the Fourth Proportional to 187.90, 259.23 and 132.51

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Solution

The fourth proportional to 187.90, 259.23 and 132.51 is: 182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.90 : 259.23 = 132.51 : x
  2. Step 2: Convert to fraction form
    187.90/259.23 = 132.51/x
  3. Step 3: Cross multiply
    187.90x = 259.23 × 132.51
  4. Step 4: Simplify right side
    187.90x = 34,350.57
  5. Step 5: Solve for x
    x = 34,350.57/187.90
  6. Step 6: Final answer
    x = 182.81

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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.