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Finding the Fourth Proportional to 401.06, 601.65 and 144.50

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Solution

The fourth proportional to 401.06, 601.65 and 144.50 is: 216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.06 : 601.65 = 144.50 : x
  2. Step 2: Convert to fraction form
    401.06/601.65 = 144.50/x
  3. Step 3: Cross multiply
    401.06x = 601.65 × 144.50
  4. Step 4: Simplify right side
    401.06x = 86,938.43
  5. Step 5: Solve for x
    x = 86,938.43/401.06
  6. Step 6: Final answer
    x = 216.77

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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.