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Finding the Fourth Proportional to 561.06, 841.64 and 195.80

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Solution

The fourth proportional to 561.06, 841.64 and 195.80 is: 293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.06 : 841.64 = 195.80 : x
  2. Step 2: Convert to fraction form
    561.06/841.64 = 195.80/x
  3. Step 3: Cross multiply
    561.06x = 841.64 × 195.80
  4. Step 4: Simplify right side
    561.06x = 164,793.11
  5. Step 5: Solve for x
    x = 164,793.11/561.06
  6. Step 6: Final answer
    x = 293.72

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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.