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Finding the Fourth Proportional to 415.87, 623.59 and 141.88

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Solution

The fourth proportional to 415.87, 623.59 and 141.88 is: 212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.87 : 623.59 = 141.88 : x
  2. Step 2: Convert to fraction form
    415.87/623.59 = 141.88/x
  3. Step 3: Cross multiply
    415.87x = 623.59 × 141.88
  4. Step 4: Simplify right side
    415.87x = 88,474.24
  5. Step 5: Solve for x
    x = 88,474.24/415.87
  6. Step 6: Final answer
    x = 212.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.