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Finding the Fourth Proportional to 288.56, 432.75 and 105.85

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Solution

The fourth proportional to 288.56, 432.75 and 105.85 is: 158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 432.75 = 105.85 : x
  2. Step 2: Convert to fraction form
    288.56/432.75 = 105.85/x
  3. Step 3: Cross multiply
    288.56x = 432.75 × 105.85
  4. Step 4: Simplify right side
    288.56x = 45,805.51
  5. Step 5: Solve for x
    x = 45,805.51/288.56
  6. Step 6: Final answer
    x = 158.74

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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.