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Finding the Fourth Proportional to 612.18, 918.27 and 179.64

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Solution

The fourth proportional to 612.18, 918.27 and 179.64 is: 269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.18 : 918.27 = 179.64 : x
  2. Step 2: Convert to fraction form
    612.18/918.27 = 179.64/x
  3. Step 3: Cross multiply
    612.18x = 918.27 × 179.64
  4. Step 4: Simplify right side
    612.18x = 164,958.02
  5. Step 5: Solve for x
    x = 164,958.02/612.18
  6. Step 6: Final answer
    x = 269.46

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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.