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Finding the Fourth Proportional to 288.35, 432.22 and 185.83

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Solution

The fourth proportional to 288.35, 432.22 and 185.83 is: 278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.35 : 432.22 = 185.83 : x
  2. Step 2: Convert to fraction form
    288.35/432.22 = 185.83/x
  3. Step 3: Cross multiply
    288.35x = 432.22 × 185.83
  4. Step 4: Simplify right side
    288.35x = 80,319.44
  5. Step 5: Solve for x
    x = 80,319.44/288.35
  6. Step 6: Final answer
    x = 278.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.