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Finding the Fourth Proportional to 288.26, 432.11 and 123.77

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Solution

The fourth proportional to 288.26, 432.11 and 123.77 is: 185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.26 : 432.11 = 123.77 : x
  2. Step 2: Convert to fraction form
    288.26/432.11 = 123.77/x
  3. Step 3: Cross multiply
    288.26x = 432.11 × 123.77
  4. Step 4: Simplify right side
    288.26x = 53,483.03
  5. Step 5: Solve for x
    x = 53,483.03/288.26
  6. Step 6: Final answer
    x = 185.54

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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.