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Finding the Fourth Proportional to 187.84, 259.23 and 117.90

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Solution

The fourth proportional to 187.84, 259.23 and 117.90 is: 162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.84 : 259.23 = 117.90 : x
  2. Step 2: Convert to fraction form
    187.84/259.23 = 117.90/x
  3. Step 3: Cross multiply
    187.84x = 259.23 × 117.90
  4. Step 4: Simplify right side
    187.84x = 30,562.63
  5. Step 5: Solve for x
    x = 30,562.63/187.84
  6. Step 6: Final answer
    x = 162.71

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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.