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Finding the Fourth Proportional to 612.49, 918.87 and 196.02

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Solution

The fourth proportional to 612.49, 918.87 and 196.02 is: 294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.49 : 918.87 = 196.02 : x
  2. Step 2: Convert to fraction form
    612.49/918.87 = 196.02/x
  3. Step 3: Cross multiply
    612.49x = 918.87 × 196.02
  4. Step 4: Simplify right side
    612.49x = 180,116.90
  5. Step 5: Solve for x
    x = 180,116.90/612.49
  6. Step 6: Final answer
    x = 294.07

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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.