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Finding the Fourth Proportional to 401.68, 602.61 and 158.23

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Solution

The fourth proportional to 401.68, 602.61 and 158.23 is: 237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.68 : 602.61 = 158.23 : x
  2. Step 2: Convert to fraction form
    401.68/602.61 = 158.23/x
  3. Step 3: Cross multiply
    401.68x = 602.61 × 158.23
  4. Step 4: Simplify right side
    401.68x = 95,350.98
  5. Step 5: Solve for x
    x = 95,350.98/401.68
  6. Step 6: Final answer
    x = 237.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.