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Finding the Fourth Proportional to 373.74, 560.07 and 191.07

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Solution

The fourth proportional to 373.74, 560.07 and 191.07 is: 286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.74 : 560.07 = 191.07 : x
  2. Step 2: Convert to fraction form
    373.74/560.07 = 191.07/x
  3. Step 3: Cross multiply
    373.74x = 560.07 × 191.07
  4. Step 4: Simplify right side
    373.74x = 107,012.57
  5. Step 5: Solve for x
    x = 107,012.57/373.74
  6. Step 6: Final answer
    x = 286.33

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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.