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Finding the Fourth Proportional to 292.14, 440.21 and 241.91

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Solution

The fourth proportional to 292.14, 440.21 and 241.91 is: 364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.14 : 440.21 = 241.91 : x
  2. Step 2: Convert to fraction form
    292.14/440.21 = 241.91/x
  3. Step 3: Cross multiply
    292.14x = 440.21 × 241.91
  4. Step 4: Simplify right side
    292.14x = 106,491.20
  5. Step 5: Solve for x
    x = 106,491.20/292.14
  6. Step 6: Final answer
    x = 364.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.