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Finding the Fourth Proportional to 281.48, 420.19 and 240.17

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Solution

The fourth proportional to 281.48, 420.19 and 240.17 is: 358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.48 : 420.19 = 240.17 : x
  2. Step 2: Convert to fraction form
    281.48/420.19 = 240.17/x
  3. Step 3: Cross multiply
    281.48x = 420.19 × 240.17
  4. Step 4: Simplify right side
    281.48x = 100,914.33
  5. Step 5: Solve for x
    x = 100,914.33/281.48
  6. Step 6: Final answer
    x = 358.52

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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.