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Finding the Fourth Proportional to 612.57, 918.87 and 179.76

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Solution

The fourth proportional to 612.57, 918.87 and 179.76 is: 269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.57 : 918.87 = 179.76 : x
  2. Step 2: Convert to fraction form
    612.57/918.87 = 179.76/x
  3. Step 3: Cross multiply
    612.57x = 918.87 × 179.76
  4. Step 4: Simplify right side
    612.57x = 165,176.07
  5. Step 5: Solve for x
    x = 165,176.07/612.57
  6. Step 6: Final answer
    x = 269.64

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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.