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Finding the Fourth Proportional to 187.86, 259.61 and 159.84

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Solution

The fourth proportional to 187.86, 259.61 and 159.84 is: 220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.86 : 259.61 = 159.84 : x
  2. Step 2: Convert to fraction form
    187.86/259.61 = 159.84/x
  3. Step 3: Cross multiply
    187.86x = 259.61 × 159.84
  4. Step 4: Simplify right side
    187.86x = 41,495.26
  5. Step 5: Solve for x
    x = 41,495.26/187.86
  6. Step 6: Final answer
    x = 220.88

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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.