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Finding the Fourth Proportional to 560.04, 839.86 and 194.80

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Solution

The fourth proportional to 560.04, 839.86 and 194.80 is: 292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.04 : 839.86 = 194.80 : x
  2. Step 2: Convert to fraction form
    560.04/839.86 = 194.80/x
  3. Step 3: Cross multiply
    560.04x = 839.86 × 194.80
  4. Step 4: Simplify right side
    560.04x = 163,604.73
  5. Step 5: Solve for x
    x = 163,604.73/560.04
  6. Step 6: Final answer
    x = 292.13

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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.