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Finding the Fourth Proportional to 240.42, 359.07 and 203.94

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Solution

The fourth proportional to 240.42, 359.07 and 203.94 is: 304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.42 : 359.07 = 203.94 : x
  2. Step 2: Convert to fraction form
    240.42/359.07 = 203.94/x
  3. Step 3: Cross multiply
    240.42x = 359.07 × 203.94
  4. Step 4: Simplify right side
    240.42x = 73,228.74
  5. Step 5: Solve for x
    x = 73,228.74/240.42
  6. Step 6: Final answer
    x = 304.59

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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.