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Finding the Fourth Proportional to 561.82, 842.76 and 177.07

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Solution

The fourth proportional to 561.82, 842.76 and 177.07 is: 265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.82 : 842.76 = 177.07 : x
  2. Step 2: Convert to fraction form
    561.82/842.76 = 177.07/x
  3. Step 3: Cross multiply
    561.82x = 842.76 × 177.07
  4. Step 4: Simplify right side
    561.82x = 149,227.51
  5. Step 5: Solve for x
    x = 149,227.51/561.82
  6. Step 6: Final answer
    x = 265.61

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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.