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Finding the Fourth Proportional to 492, 738 and 203.45

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Solution

The fourth proportional to 492, 738 and 203.45 is: 305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492 : 738 = 203.45 : x
  2. Step 2: Convert to fraction form
    492/738 = 203.45/x
  3. Step 3: Cross multiply
    492x = 738 × 203.45
  4. Step 4: Simplify right side
    492x = 150,142.41
  5. Step 5: Solve for x
    x = 150,142.41/492
  6. Step 6: Final answer
    x = 305.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.