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Finding the Fourth Proportional to 288.49, 432.87 and 105.97

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Solution

The fourth proportional to 288.49, 432.87 and 105.97 is: 159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.49 : 432.87 = 105.97 : x
  2. Step 2: Convert to fraction form
    288.49/432.87 = 105.97/x
  3. Step 3: Cross multiply
    288.49x = 432.87 × 105.97
  4. Step 4: Simplify right side
    288.49x = 45,871.23
  5. Step 5: Solve for x
    x = 45,871.23/288.49
  6. Step 6: Final answer
    x = 159.00

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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.