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Finding the Fourth Proportional to 415.75, 623.69 and 141.77

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Solution

The fourth proportional to 415.75, 623.69 and 141.77 is: 212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.75 : 623.69 = 141.77 : x
  2. Step 2: Convert to fraction form
    415.75/623.69 = 141.77/x
  3. Step 3: Cross multiply
    415.75x = 623.69 × 141.77
  4. Step 4: Simplify right side
    415.75x = 88,420.53
  5. Step 5: Solve for x
    x = 88,420.53/415.75
  6. Step 6: Final answer
    x = 212.68

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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.