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Finding the Fourth Proportional to 373.53, 559.79 and 191.06

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Solution

The fourth proportional to 373.53, 559.79 and 191.06 is: 286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.53 : 559.79 = 191.06 : x
  2. Step 2: Convert to fraction form
    373.53/559.79 = 191.06/x
  3. Step 3: Cross multiply
    373.53x = 559.79 × 191.06
  4. Step 4: Simplify right side
    373.53x = 106,949.72
  5. Step 5: Solve for x
    x = 106,949.72/373.53
  6. Step 6: Final answer
    x = 286.32

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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.