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Finding the Fourth Proportional to 561.08, 841.42 and 195.78

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Solution

The fourth proportional to 561.08, 841.42 and 195.78 is: 293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.08 : 841.42 = 195.78 : x
  2. Step 2: Convert to fraction form
    561.08/841.42 = 195.78/x
  3. Step 3: Cross multiply
    561.08x = 841.42 × 195.78
  4. Step 4: Simplify right side
    561.08x = 164,733.21
  5. Step 5: Solve for x
    x = 164,733.21/561.08
  6. Step 6: Final answer
    x = 293.60

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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.