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Finding the Fourth Proportional to 288.77, 432.87 and 115.33

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Solution

The fourth proportional to 288.77, 432.87 and 115.33 is: 172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.77 : 432.87 = 115.33 : x
  2. Step 2: Convert to fraction form
    288.77/432.87 = 115.33/x
  3. Step 3: Cross multiply
    288.77x = 432.87 × 115.33
  4. Step 4: Simplify right side
    288.77x = 49,922.90
  5. Step 5: Solve for x
    x = 49,922.90/288.77
  6. Step 6: Final answer
    x = 172.88

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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.