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Finding the Fourth Proportional to 665.84, 998.68 and 178.93

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Solution

The fourth proportional to 665.84, 998.68 and 178.93 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.84 : 998.68 = 178.93 : x
  2. Step 2: Convert to fraction form
    665.84/998.68 = 178.93/x
  3. Step 3: Cross multiply
    665.84x = 998.68 × 178.93
  4. Step 4: Simplify right side
    665.84x = 178,693.81
  5. Step 5: Solve for x
    x = 178,693.81/665.84
  6. Step 6: Final answer
    x = 268.37

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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.