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Finding the Fourth Proportional to 258.96, 358.95 and 241.14

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Solution

The fourth proportional to 258.96, 358.95 and 241.14 is: 334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.96 : 358.95 = 241.14 : x
  2. Step 2: Convert to fraction form
    258.96/358.95 = 241.14/x
  3. Step 3: Cross multiply
    258.96x = 358.95 × 241.14
  4. Step 4: Simplify right side
    258.96x = 86,557.20
  5. Step 5: Solve for x
    x = 86,557.20/258.96
  6. Step 6: Final answer
    x = 334.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.