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Finding the Fourth Proportional to 288.49, 432.86 and 196.05

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Solution

The fourth proportional to 288.49, 432.86 and 196.05 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.49 : 432.86 = 196.05 : x
  2. Step 2: Convert to fraction form
    288.49/432.86 = 196.05/x
  3. Step 3: Cross multiply
    288.49x = 432.86 × 196.05
  4. Step 4: Simplify right side
    288.49x = 84,859.06
  5. Step 5: Solve for x
    x = 84,859.06/288.49
  6. Step 6: Final answer
    x = 294.15

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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.