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Finding the Fourth Proportional to 561.90, 842.73 and 176.94

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Solution

The fourth proportional to 561.90, 842.73 and 176.94 is: 265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.90 : 842.73 = 176.94 : x
  2. Step 2: Convert to fraction form
    561.90/842.73 = 176.94/x
  3. Step 3: Cross multiply
    561.90x = 842.73 × 176.94
  4. Step 4: Simplify right side
    561.90x = 149,112.65
  5. Step 5: Solve for x
    x = 149,112.65/561.90
  6. Step 6: Final answer
    x = 265.37

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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.