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Finding the Fourth Proportional to 245.57, 368.42 and 209.12

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Solution

The fourth proportional to 245.57, 368.42 and 209.12 is: 313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.57 : 368.42 = 209.12 : x
  2. Step 2: Convert to fraction form
    245.57/368.42 = 209.12/x
  3. Step 3: Cross multiply
    245.57x = 368.42 × 209.12
  4. Step 4: Simplify right side
    245.57x = 77,041.10
  5. Step 5: Solve for x
    x = 77,041.10/245.57
  6. Step 6: Final answer
    x = 313.73

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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.