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Finding the Fourth Proportional to 612.59, 918.98 and 179.78

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Solution

The fourth proportional to 612.59, 918.98 and 179.78 is: 269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.59 : 918.98 = 179.78 : x
  2. Step 2: Convert to fraction form
    612.59/918.98 = 179.78/x
  3. Step 3: Cross multiply
    612.59x = 918.98 × 179.78
  4. Step 4: Simplify right side
    612.59x = 165,214.22
  5. Step 5: Solve for x
    x = 165,214.22/612.59
  6. Step 6: Final answer
    x = 269.70

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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.