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Finding the Fourth Proportional to 612.71, 918.73 and 196.17

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Solution

The fourth proportional to 612.71, 918.73 and 196.17 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.71 : 918.73 = 196.17 : x
  2. Step 2: Convert to fraction form
    612.71/918.73 = 196.17/x
  3. Step 3: Cross multiply
    612.71x = 918.73 × 196.17
  4. Step 4: Simplify right side
    612.71x = 180,227.26
  5. Step 5: Solve for x
    x = 180,227.26/612.71
  6. Step 6: Final answer
    x = 294.15

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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.