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Finding the Fourth Proportional to 212.30, 317.63 and 140.30

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Solution

The fourth proportional to 212.30, 317.63 and 140.30 is: 209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.30 : 317.63 = 140.30 : x
  2. Step 2: Convert to fraction form
    212.30/317.63 = 140.30/x
  3. Step 3: Cross multiply
    212.30x = 317.63 × 140.30
  4. Step 4: Simplify right side
    212.30x = 44,562.79
  5. Step 5: Solve for x
    x = 44,562.79/212.30
  6. Step 6: Final answer
    x = 209.90

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Why These Related Problems?

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