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Finding the Fourth Proportional to 401.32, 602.16 and 181.96

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Solution

The fourth proportional to 401.32, 602.16 and 181.96 is: 273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.32 : 602.16 = 181.96 : x
  2. Step 2: Convert to fraction form
    401.32/602.16 = 181.96/x
  3. Step 3: Cross multiply
    401.32x = 602.16 × 181.96
  4. Step 4: Simplify right side
    401.32x = 109,569.03
  5. Step 5: Solve for x
    x = 109,569.03/401.32
  6. Step 6: Final answer
    x = 273.02

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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.