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Finding the Fourth Proportional to 288.09, 432.14 and 105.38

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Solution

The fourth proportional to 288.09, 432.14 and 105.38 is: 158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.09 : 432.14 = 105.38 : x
  2. Step 2: Convert to fraction form
    288.09/432.14 = 105.38/x
  3. Step 3: Cross multiply
    288.09x = 432.14 × 105.38
  4. Step 4: Simplify right side
    288.09x = 45,537.85
  5. Step 5: Solve for x
    x = 45,537.85/288.09
  6. Step 6: Final answer
    x = 158.07

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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.