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Finding the Fourth Proportional to 561.32, 842.08 and 171.36

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Solution

The fourth proportional to 561.32, 842.08 and 171.36 is: 257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.32 : 842.08 = 171.36 : x
  2. Step 2: Convert to fraction form
    561.32/842.08 = 171.36/x
  3. Step 3: Cross multiply
    561.32x = 842.08 × 171.36
  4. Step 4: Simplify right side
    561.32x = 144,294.62
  5. Step 5: Solve for x
    x = 144,294.62/561.32
  6. Step 6: Final answer
    x = 257.06

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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.