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Finding the Fourth Proportional to 245.13, 338.31 and 151.84

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Solution

The fourth proportional to 245.13, 338.31 and 151.84 is: 209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.13 : 338.31 = 151.84 : x
  2. Step 2: Convert to fraction form
    245.13/338.31 = 151.84/x
  3. Step 3: Cross multiply
    245.13x = 338.31 × 151.84
  4. Step 4: Simplify right side
    245.13x = 51,368.99
  5. Step 5: Solve for x
    x = 51,368.99/245.13
  6. Step 6: Final answer
    x = 209.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.