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Finding the Fourth Proportional to 245.38, 338.68 and 186.53

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Solution

The fourth proportional to 245.38, 338.68 and 186.53 is: 257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.38 : 338.68 = 186.53 : x
  2. Step 2: Convert to fraction form
    245.38/338.68 = 186.53/x
  3. Step 3: Cross multiply
    245.38x = 338.68 × 186.53
  4. Step 4: Simplify right side
    245.38x = 63,173.47
  5. Step 5: Solve for x
    x = 63,173.47/245.38
  6. Step 6: Final answer
    x = 257.45

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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.