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Finding the Fourth Proportional to 373.22, 559.75 and 142.14

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Solution

The fourth proportional to 373.22, 559.75 and 142.14 is: 213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.22 : 559.75 = 142.14 : x
  2. Step 2: Convert to fraction form
    373.22/559.75 = 142.14/x
  3. Step 3: Cross multiply
    373.22x = 559.75 × 142.14
  4. Step 4: Simplify right side
    373.22x = 79,559.36
  5. Step 5: Solve for x
    x = 79,559.36/373.22
  6. Step 6: Final answer
    x = 213.17

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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.