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Finding the Fourth Proportional to 415.65, 623.56 and 141.74

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Solution

The fourth proportional to 415.65, 623.56 and 141.74 is: 212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.65 : 623.56 = 141.74 : x
  2. Step 2: Convert to fraction form
    415.65/623.56 = 141.74/x
  3. Step 3: Cross multiply
    415.65x = 623.56 × 141.74
  4. Step 4: Simplify right side
    415.65x = 88,383.39
  5. Step 5: Solve for x
    x = 88,383.39/415.65
  6. Step 6: Final answer
    x = 212.64

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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.