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Finding the Fourth Proportional to 373.42, 560.48 and 190.94

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Solution

The fourth proportional to 373.42, 560.48 and 190.94 is: 286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.42 : 560.48 = 190.94 : x
  2. Step 2: Convert to fraction form
    373.42/560.48 = 190.94/x
  3. Step 3: Cross multiply
    373.42x = 560.48 × 190.94
  4. Step 4: Simplify right side
    373.42x = 107,018.05
  5. Step 5: Solve for x
    x = 107,018.05/373.42
  6. Step 6: Final answer
    x = 286.59

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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.