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Finding the Fourth Proportional to 288.29, 432.62 and 105.83

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Solution

The fourth proportional to 288.29, 432.62 and 105.83 is: 158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.29 : 432.62 = 105.83 : x
  2. Step 2: Convert to fraction form
    288.29/432.62 = 105.83/x
  3. Step 3: Cross multiply
    288.29x = 432.62 × 105.83
  4. Step 4: Simplify right side
    288.29x = 45,782.28
  5. Step 5: Solve for x
    x = 45,782.28/288.29
  6. Step 6: Final answer
    x = 158.81

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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.