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Finding the Fourth Proportional to 288.18, 431.86 and 150.94

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Solution

The fourth proportional to 288.18, 431.86 and 150.94 is: 226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.18 : 431.86 = 150.94 : x
  2. Step 2: Convert to fraction form
    288.18/431.86 = 150.94/x
  3. Step 3: Cross multiply
    288.18x = 431.86 × 150.94
  4. Step 4: Simplify right side
    288.18x = 65,184.95
  5. Step 5: Solve for x
    x = 65,184.95/288.18
  6. Step 6: Final answer
    x = 226.20

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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.