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Finding the Fourth Proportional to 187.77, 259.10 and 104.86

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Solution

The fourth proportional to 187.77, 259.10 and 104.86 is: 144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.77 : 259.10 = 104.86 : x
  2. Step 2: Convert to fraction form
    187.77/259.10 = 104.86/x
  3. Step 3: Cross multiply
    187.77x = 259.10 × 104.86
  4. Step 4: Simplify right side
    187.77x = 27,168.70
  5. Step 5: Solve for x
    x = 27,168.70/187.77
  6. Step 6: Final answer
    x = 144.70

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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.