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Finding the Fourth Proportional to 282.48, 421.68 and 241.17

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Solution

The fourth proportional to 282.48, 421.68 and 241.17 is: 360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.48 : 421.68 = 241.17 : x
  2. Step 2: Convert to fraction form
    282.48/421.68 = 241.17/x
  3. Step 3: Cross multiply
    282.48x = 421.68 × 241.17
  4. Step 4: Simplify right side
    282.48x = 101,696.57
  5. Step 5: Solve for x
    x = 101,696.57/282.48
  6. Step 6: Final answer
    x = 360.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.