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Finding the Fourth Proportional to 612.14, 918.10 and 179.19

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Solution

The fourth proportional to 612.14, 918.10 and 179.19 is: 268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.14 : 918.10 = 179.19 : x
  2. Step 2: Convert to fraction form
    612.14/918.10 = 179.19/x
  3. Step 3: Cross multiply
    612.14x = 918.10 × 179.19
  4. Step 4: Simplify right side
    612.14x = 164,513.44
  5. Step 5: Solve for x
    x = 164,513.44/612.14
  6. Step 6: Final answer
    x = 268.75

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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.