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Finding the Fourth Proportional to 561.88, 842.80 and 177.14

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Solution

The fourth proportional to 561.88, 842.80 and 177.14 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.88 : 842.80 = 177.14 : x
  2. Step 2: Convert to fraction form
    561.88/842.80 = 177.14/x
  3. Step 3: Cross multiply
    561.88x = 842.80 × 177.14
  4. Step 4: Simplify right side
    561.88x = 149,293.59
  5. Step 5: Solve for x
    x = 149,293.59/561.88
  6. Step 6: Final answer
    x = 265.70

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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.