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Finding the Fourth Proportional to 288.24, 432.02 and 151.36

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Solution

The fourth proportional to 288.24, 432.02 and 151.36 is: 226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.24 : 432.02 = 151.36 : x
  2. Step 2: Convert to fraction form
    288.24/432.02 = 151.36/x
  3. Step 3: Cross multiply
    288.24x = 432.02 × 151.36
  4. Step 4: Simplify right side
    288.24x = 65,390.55
  5. Step 5: Solve for x
    x = 65,390.55/288.24
  6. Step 6: Final answer
    x = 226.86

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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.