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Finding the Fourth Proportional to 373.19, 559.79 and 142.08

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Solution

The fourth proportional to 373.19, 559.79 and 142.08 is: 213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.19 : 559.79 = 142.08 : x
  2. Step 2: Convert to fraction form
    373.19/559.79 = 142.08/x
  3. Step 3: Cross multiply
    373.19x = 559.79 × 142.08
  4. Step 4: Simplify right side
    373.19x = 79,534.96
  5. Step 5: Solve for x
    x = 79,534.96/373.19
  6. Step 6: Final answer
    x = 213.12

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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.