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Finding the Fourth Proportional to 187.70, 258.96 and 110.10

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Solution

The fourth proportional to 187.70, 258.96 and 110.10 is: 151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.70 : 258.96 = 110.10 : x
  2. Step 2: Convert to fraction form
    187.70/258.96 = 110.10/x
  3. Step 3: Cross multiply
    187.70x = 258.96 × 110.10
  4. Step 4: Simplify right side
    187.70x = 28,511.50
  5. Step 5: Solve for x
    x = 28,511.50/187.70
  6. Step 6: Final answer
    x = 151.90

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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.