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Finding the Fourth Proportional to 210.10, 315.12 and 113.86

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Solution

The fourth proportional to 210.10, 315.12 and 113.86 is: 170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.10 : 315.12 = 113.86 : x
  2. Step 2: Convert to fraction form
    210.10/315.12 = 113.86/x
  3. Step 3: Cross multiply
    210.10x = 315.12 × 113.86
  4. Step 4: Simplify right side
    210.10x = 35,879.56
  5. Step 5: Solve for x
    x = 35,879.56/210.10
  6. Step 6: Final answer
    x = 170.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.