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Finding the Fourth Proportional to 415.98, 624.02 and 142.00

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Solution

The fourth proportional to 415.98, 624.02 and 142.00 is: 213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.98 : 624.02 = 142.00 : x
  2. Step 2: Convert to fraction form
    415.98/624.02 = 142.00/x
  3. Step 3: Cross multiply
    415.98x = 624.02 × 142.00
  4. Step 4: Simplify right side
    415.98x = 88,607.72
  5. Step 5: Solve for x
    x = 88,607.72/415.98
  6. Step 6: Final answer
    x = 213.01

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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.