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Finding the Fourth Proportional to 560.09, 840.15 and 194.89

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Solution

The fourth proportional to 560.09, 840.15 and 194.89 is: 292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.09 : 840.15 = 194.89 : x
  2. Step 2: Convert to fraction form
    560.09/840.15 = 194.89/x
  3. Step 3: Cross multiply
    560.09x = 840.15 × 194.89
  4. Step 4: Simplify right side
    560.09x = 163,731.66
  5. Step 5: Solve for x
    x = 163,731.66/560.09
  6. Step 6: Final answer
    x = 292.33

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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.