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Finding the Fourth Proportional to 612.51, 918.97 and 179.73

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Solution

The fourth proportional to 612.51, 918.97 and 179.73 is: 269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.51 : 918.97 = 179.73 : x
  2. Step 2: Convert to fraction form
    612.51/918.97 = 179.73/x
  3. Step 3: Cross multiply
    612.51x = 918.97 × 179.73
  4. Step 4: Simplify right side
    612.51x = 165,166.48
  5. Step 5: Solve for x
    x = 165,166.48/612.51
  6. Step 6: Final answer
    x = 269.66

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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.