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Finding the Fourth Proportional to 560.06, 839.97 and 194.88

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Solution

The fourth proportional to 560.06, 839.97 and 194.88 is: 292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.06 : 839.97 = 194.88 : x
  2. Step 2: Convert to fraction form
    560.06/839.97 = 194.88/x
  3. Step 3: Cross multiply
    560.06x = 839.97 × 194.88
  4. Step 4: Simplify right side
    560.06x = 163,696.50
  5. Step 5: Solve for x
    x = 163,696.50/560.06
  6. Step 6: Final answer
    x = 292.28

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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.