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Finding the Fourth Proportional to 187.59, 259.10 and 141.17

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Solution

The fourth proportional to 187.59, 259.10 and 141.17 is: 194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.59 : 259.10 = 141.17 : x
  2. Step 2: Convert to fraction form
    187.59/259.10 = 141.17/x
  3. Step 3: Cross multiply
    187.59x = 259.10 × 141.17
  4. Step 4: Simplify right side
    187.59x = 36,577.15
  5. Step 5: Solve for x
    x = 36,577.15/187.59
  6. Step 6: Final answer
    x = 194.98

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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.