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Finding the Fourth Proportional to 609.74, 914.42 and 176.93

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Solution

The fourth proportional to 609.74, 914.42 and 176.93 is: 265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.74 : 914.42 = 176.93 : x
  2. Step 2: Convert to fraction form
    609.74/914.42 = 176.93/x
  3. Step 3: Cross multiply
    609.74x = 914.42 × 176.93
  4. Step 4: Simplify right side
    609.74x = 161,782.87
  5. Step 5: Solve for x
    x = 161,782.87/609.74
  6. Step 6: Final answer
    x = 265.33

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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.