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Finding the Fourth Proportional to 241.96, 358 and 241.24

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Solution

The fourth proportional to 241.96, 358 and 241.24 is: 356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.96 : 358 = 241.24 : x
  2. Step 2: Convert to fraction form
    241.96/358 = 241.24/x
  3. Step 3: Cross multiply
    241.96x = 358 × 241.24
  4. Step 4: Simplify right side
    241.96x = 86,363.92
  5. Step 5: Solve for x
    x = 86,363.92/241.96
  6. Step 6: Final answer
    x = 356.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.