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Finding the Fourth Proportional to 415.74, 623.66 and 141.88

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Solution

The fourth proportional to 415.74, 623.66 and 141.88 is: 212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.74 : 623.66 = 141.88 : x
  2. Step 2: Convert to fraction form
    415.74/623.66 = 141.88/x
  3. Step 3: Cross multiply
    415.74x = 623.66 × 141.88
  4. Step 4: Simplify right side
    415.74x = 88,484.88
  5. Step 5: Solve for x
    x = 88,484.88/415.74
  6. Step 6: Final answer
    x = 212.84

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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.