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Finding the Fourth Proportional to 231.65, 317.87 and 210.76

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Solution

The fourth proportional to 231.65, 317.87 and 210.76 is: 289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.65 : 317.87 = 210.76 : x
  2. Step 2: Convert to fraction form
    231.65/317.87 = 210.76/x
  3. Step 3: Cross multiply
    231.65x = 317.87 × 210.76
  4. Step 4: Simplify right side
    231.65x = 66,995.21
  5. Step 5: Solve for x
    x = 66,995.21/231.65
  6. Step 6: Final answer
    x = 289.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.