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Finding the Fourth Proportional to 401.84, 602.24 and 182.24

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Solution

The fourth proportional to 401.84, 602.24 and 182.24 is: 273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.84 : 602.24 = 182.24 : x
  2. Step 2: Convert to fraction form
    401.84/602.24 = 182.24/x
  3. Step 3: Cross multiply
    401.84x = 602.24 × 182.24
  4. Step 4: Simplify right side
    401.84x = 109,752.22
  5. Step 5: Solve for x
    x = 109,752.22/401.84
  6. Step 6: Final answer
    x = 273.12

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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.