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Finding the Fourth Proportional to 288.37, 432.56 and 105.78

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Solution

The fourth proportional to 288.37, 432.56 and 105.78 is: 158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.37 : 432.56 = 105.78 : x
  2. Step 2: Convert to fraction form
    288.37/432.56 = 105.78/x
  3. Step 3: Cross multiply
    288.37x = 432.56 × 105.78
  4. Step 4: Simplify right side
    288.37x = 45,755.67
  5. Step 5: Solve for x
    x = 45,755.67/288.37
  6. Step 6: Final answer
    x = 158.67

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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.