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Finding the Fourth Proportional to 288.36, 432.64 and 105.76

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Solution

The fourth proportional to 288.36, 432.64 and 105.76 is: 158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.36 : 432.64 = 105.76 : x
  2. Step 2: Convert to fraction form
    288.36/432.64 = 105.76/x
  3. Step 3: Cross multiply
    288.36x = 432.64 × 105.76
  4. Step 4: Simplify right side
    288.36x = 45,754.25
  5. Step 5: Solve for x
    x = 45,754.25/288.36
  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.