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Finding the Fourth Proportional to 245.13, 338.42 and 187.02

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Solution

The fourth proportional to 245.13, 338.42 and 187.02 is: 258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.13 : 338.42 = 187.02 : x
  2. Step 2: Convert to fraction form
    245.13/338.42 = 187.02/x
  3. Step 3: Cross multiply
    245.13x = 338.42 × 187.02
  4. Step 4: Simplify right side
    245.13x = 63,291.31
  5. Step 5: Solve for x
    x = 63,291.31/245.13
  6. Step 6: Final answer
    x = 258.19

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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.