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Finding the Fourth Proportional to 187.99, 259.38 and 129.10

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Solution

The fourth proportional to 187.99, 259.38 and 129.10 is: 178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.99 : 259.38 = 129.10 : x
  2. Step 2: Convert to fraction form
    187.99/259.38 = 129.10/x
  3. Step 3: Cross multiply
    187.99x = 259.38 × 129.10
  4. Step 4: Simplify right side
    187.99x = 33,485.96
  5. Step 5: Solve for x
    x = 33,485.96/187.99
  6. Step 6: Final answer
    x = 178.13

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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.