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Finding the Fourth Proportional to 401.68, 602.32 and 196.16

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Solution

The fourth proportional to 401.68, 602.32 and 196.16 is: 294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.68 : 602.32 = 196.16 : x
  2. Step 2: Convert to fraction form
    401.68/602.32 = 196.16/x
  3. Step 3: Cross multiply
    401.68x = 602.32 × 196.16
  4. Step 4: Simplify right side
    401.68x = 118,151.09
  5. Step 5: Solve for x
    x = 118,151.09/401.68
  6. Step 6: Final answer
    x = 294.14

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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.