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Finding the Fourth Proportional to 401.61, 602.15 and 167.51

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Solution

The fourth proportional to 401.61, 602.15 and 167.51 is: 251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.61 : 602.15 = 167.51 : x
  2. Step 2: Convert to fraction form
    401.61/602.15 = 167.51/x
  3. Step 3: Cross multiply
    401.61x = 602.15 × 167.51
  4. Step 4: Simplify right side
    401.61x = 100,863.14
  5. Step 5: Solve for x
    x = 100,863.14/401.61
  6. Step 6: Final answer
    x = 251.15

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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.