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Finding the Fourth Proportional to 287.64, 430.65 and 196.20

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Solution

The fourth proportional to 287.64, 430.65 and 196.20 is: 293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.64 : 430.65 = 196.20 : x
  2. Step 2: Convert to fraction form
    287.64/430.65 = 196.20/x
  3. Step 3: Cross multiply
    287.64x = 430.65 × 196.20
  4. Step 4: Simplify right side
    287.64x = 84,493.53
  5. Step 5: Solve for x
    x = 84,493.53/287.64
  6. Step 6: Final answer
    x = 293.75

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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.