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Finding the Fourth Proportional to 211.10, 315.70 and 159.16

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Solution

The fourth proportional to 211.10, 315.70 and 159.16 is: 238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.10 : 315.70 = 159.16 : x
  2. Step 2: Convert to fraction form
    211.10/315.70 = 159.16/x
  3. Step 3: Cross multiply
    211.10x = 315.70 × 159.16
  4. Step 4: Simplify right side
    211.10x = 50,246.81
  5. Step 5: Solve for x
    x = 50,246.81/211.10
  6. Step 6: Final answer
    x = 238.02

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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.