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Finding the Fourth Proportional to 373.30, 559.83 and 142.30

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Solution

The fourth proportional to 373.30, 559.83 and 142.30 is: 213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.30 : 559.83 = 142.30 : x
  2. Step 2: Convert to fraction form
    373.30/559.83 = 142.30/x
  3. Step 3: Cross multiply
    373.30x = 559.83 × 142.30
  4. Step 4: Simplify right side
    373.30x = 79,663.81
  5. Step 5: Solve for x
    x = 79,663.81/373.30
  6. Step 6: Final answer
    x = 213.40

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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.