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Finding the Fourth Proportional to 401.10, 601.72 and 141.08

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Solution

The fourth proportional to 401.10, 601.72 and 141.08 is: 211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.10 : 601.72 = 141.08 : x
  2. Step 2: Convert to fraction form
    401.10/601.72 = 141.08/x
  3. Step 3: Cross multiply
    401.10x = 601.72 × 141.08
  4. Step 4: Simplify right side
    401.10x = 84,890.66
  5. Step 5: Solve for x
    x = 84,890.66/401.10
  6. Step 6: Final answer
    x = 211.64

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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.