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Finding the Fourth Proportional to 665.65, 998.53 and 178.69

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Solution

The fourth proportional to 665.65, 998.53 and 178.69 is: 268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.65 : 998.53 = 178.69 : x
  2. Step 2: Convert to fraction form
    665.65/998.53 = 178.69/x
  3. Step 3: Cross multiply
    665.65x = 998.53 × 178.69
  4. Step 4: Simplify right side
    665.65x = 178,429.38
  5. Step 5: Solve for x
    x = 178,429.38/665.65
  6. Step 6: Final answer
    x = 268.05

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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.