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Finding the Fourth Proportional to 245.20, 366.23 and 211.06

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Solution

The fourth proportional to 245.20, 366.23 and 211.06 is: 315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.20 : 366.23 = 211.06 : x
  2. Step 2: Convert to fraction form
    245.20/366.23 = 211.06/x
  3. Step 3: Cross multiply
    245.20x = 366.23 × 211.06
  4. Step 4: Simplify right side
    245.20x = 77,296.50
  5. Step 5: Solve for x
    x = 77,296.50/245.20
  6. Step 6: Final answer
    x = 315.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.