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Finding the Fourth Proportional to 288.35, 432.22 and 125.99

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Solution

The fourth proportional to 288.35, 432.22 and 125.99 is: 188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.35 : 432.22 = 125.99 : x
  2. Step 2: Convert to fraction form
    288.35/432.22 = 125.99/x
  3. Step 3: Cross multiply
    288.35x = 432.22 × 125.99
  4. Step 4: Simplify right side
    288.35x = 54,452.61
  5. Step 5: Solve for x
    x = 54,452.61/288.35
  6. Step 6: Final answer
    x = 188.85

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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.